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GCD of 105 and 160

To use the GCD / GCF / HCF Calculator below just enter a set of numbers separated by commas (,).

GCF Calculator

 Enter values separeted by commas:  Ex.: 2,4,8; 3,6 etc. Detailed Answer: Greatest Common Divisor explained here

You have reached us maybe looking for answers to the questions like: GCD of 105 and 160 or what is the highest common factor (HCF) of 105 and 160?

What is the GCF of 105 and 160?

The first step to find the gcf of 105 and 160 is to list the factors of each number. The factors of 105 are 1, 3, 5, 7, 15, 21, 35 and 105. The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80 and 160. So, the Greatest Common Factor for these numbers is 5 because it divides all them without a remainder. Read more about Common Factors below.

How to find the Greatest Common Factor

GCF example:

The first step is to find all divisors of each number. For instance, let us find the gcf(105,160).

In this case we have:

• The factors of 105 (all the whole numbers that can divide the number without a remainder) are 1, 3, 5, 7, 15, 21, 35 and 105;
• The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80 and 160.

The second step is to analyze which are the common divisors. It is not difficult to see that the 'Greatest Common Factor' or 'Divisor' for 105 and 160 is 5. The GCF is the largest common positive integer that divides all the numbers (105,160) without a remainder.

The GCF is also known as:

• Greatest common divisor (gcd);
• Highest common factor (hcf);
• Greatest common measure (gcm), or
• Highest common divisor

Greatest Common Factor Calculator 