What is the Greatest Common Factor of 79698 and 79702?

Greatest common factor (GCF) of 79698 and 79702 is 2.

GCF(79698,79702) = 2

We will now calculate the prime factors of 79698 and 79702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79698 and 79702.

How to find the GCF of 79698 and 79702?

We will first find the prime factorization of 79698 and 79702. After we will calculate the factors of 79698 and 79702 and find the biggest common factor number .

Step-1: Prime Factorization of 79698

Prime factors of 79698 are 2, 3, 37, 359. Prime factorization of 79698 in exponential form is:

79698 = 2¹ × 3¹ × 37¹ × 359¹

Step-2: Prime Factorization of 79702

Prime factors of 79702 are 2, 7, 5693. Prime factorization of 79702 in exponential form is:

79702 = 2¹ × 7¹ × 5693¹

Step-3: Factors of 79698

List of positive integer factors of 79698 that divides 79698 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 359, 718, 1077, 2154, 13283, 26566, 39849

Step-4: Factors of 79702

List of positive integer factors of 79702 that divides 79698 without a remainder.

1, 2, 7, 14, 5693, 11386, 39851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79698 and 79702. The biggest common factor number is the GCF number.
So the greatest common factor 79698 and 79702 is 2.

Also check out the Least Common Multiple of 79698 and 79702