What is the Greatest Common Factor of 65698 and 65702?

Greatest common factor (GCF) of 65698 and 65702 is 2.

GCF(65698,65702) = 2

We will now calculate the prime factors of 65698 and 65702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65698 and 65702.

How to find the GCF of 65698 and 65702?

We will first find the prime factorization of 65698 and 65702. After we will calculate the factors of 65698 and 65702 and find the biggest common factor number .

Step-1: Prime Factorization of 65698

Prime factors of 65698 are 2, 107, 307. Prime factorization of 65698 in exponential form is:

65698 = 2¹ × 107¹ × 307¹

Step-2: Prime Factorization of 65702

Prime factors of 65702 are 2, 7, 13, 19. Prime factorization of 65702 in exponential form is:

65702 = 2¹ × 7¹ × 13¹ × 19²

Step-3: Factors of 65698

List of positive integer factors of 65698 that divides 65698 without a remainder.

1, 2, 107, 214, 307, 614, 32849

Step-4: Factors of 65702

List of positive integer factors of 65702 that divides 65698 without a remainder.

1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 361, 494, 722, 1729, 2527, 3458, 4693, 5054, 9386, 32851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65698 and 65702. The biggest common factor number is the GCF number.
So the greatest common factor 65698 and 65702 is 2.

Also check out the Least Common Multiple of 65698 and 65702