What is the Greatest Common Factor of 65689 and 65702?

Greatest common factor (GCF) of 65689 and 65702 is 13.

GCF(65689,65702) = 13

We will now calculate the prime factors of 65689 and 65702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65689 and 65702.

How to find the GCF of 65689 and 65702?

We will first find the prime factorization of 65689 and 65702. After we will calculate the factors of 65689 and 65702 and find the biggest common factor number .

Step-1: Prime Factorization of 65689

Prime factors of 65689 are 13, 31, 163. Prime factorization of 65689 in exponential form is:

65689 = 13¹ × 31¹ × 163¹

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 65689

List of positive integer factors of 65689 that divides 65689 without a remainder.

1, 13, 31, 163, 403, 2119, 5053

Step-4: Factors of 65702

List of positive integer factors of 65702 that divides 65689 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 65689 and 65702. The biggest common factor number is the GCF number.
So the greatest common factor 65689 and 65702 is 13.

Also check out the Least Common Multiple of 65689 and 65702