What is the Greatest Common Factor of 79746 and 79764?

Greatest common factor (GCF) of 79746 and 79764 is 6.

GCF(79746,79764) = 6

We will now calculate the prime factors of 79746 and 79764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79746 and 79764.

How to find the GCF of 79746 and 79764?

We will first find the prime factorization of 79746 and 79764. After we will calculate the factors of 79746 and 79764 and find the biggest common factor number .

Step-1: Prime Factorization of 79746

Prime factors of 79746 are 2, 3, 13291. Prime factorization of 79746 in exponential form is:

79746 = 2¹ × 3¹ × 13291¹

Step-2: Prime Factorization of 79764

Prime factors of 79764 are 2, 3, 17, 23. Prime factorization of 79764 in exponential form is:

79764 = 2² × 3¹ × 17² × 23¹

Step-3: Factors of 79746

List of positive integer factors of 79746 that divides 79746 without a remainder.

1, 2, 3, 6, 13291, 26582, 39873

Step-4: Factors of 79764

List of positive integer factors of 79764 that divides 79746 without a remainder.

1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 289, 391, 578, 782, 867, 1156, 1173, 1564, 1734, 2346, 3468, 4692, 6647, 13294, 19941, 26588, 39882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79746 and 79764. The biggest common factor number is the GCF number.
So the greatest common factor 79746 and 79764 is 6.

Also check out the Least Common Multiple of 79746 and 79764