What is the Greatest Common Factor of 79700 and 79710?

Greatest common factor (GCF) of 79700 and 79710 is 10.

GCF(79700,79710) = 10

We will now calculate the prime factors of 79700 and 79710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79700 and 79710.

How to find the GCF of 79700 and 79710?

We will first find the prime factorization of 79700 and 79710. After we will calculate the factors of 79700 and 79710 and find the biggest common factor number .

Step-1: Prime Factorization of 79700

Prime factors of 79700 are 2, 5, 797. Prime factorization of 79700 in exponential form is:

79700 = 2² × 5² × 797¹

Step-2: Prime Factorization of 79710

Prime factors of 79710 are 2, 3, 5, 2657. Prime factorization of 79710 in exponential form is:

79710 = 2¹ × 3¹ × 5¹ × 2657¹

Step-3: Factors of 79700

List of positive integer factors of 79700 that divides 79700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 797, 1594, 3188, 3985, 7970, 15940, 19925, 39850

Step-4: Factors of 79710

List of positive integer factors of 79710 that divides 79700 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2657, 5314, 7971, 13285, 15942, 26570, 39855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79700 and 79710. The biggest common factor number is the GCF number.
So the greatest common factor 79700 and 79710 is 10.

Also check out the Least Common Multiple of 79700 and 79710