What is the Greatest Common Factor of 51680 and 51697?

Greatest common factor (GCF) of 51680 and 51697 is 17.

GCF(51680,51697) = 17

We will now calculate the prime factors of 51680 and 51697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51680 and 51697.

How to find the GCF of 51680 and 51697?

We will first find the prime factorization of 51680 and 51697. After we will calculate the factors of 51680 and 51697 and find the biggest common factor number .

Step-1: Prime Factorization of 51680

Prime factors of 51680 are 2, 5, 17, 19. Prime factorization of 51680 in exponential form is:

51680 = 2⁵ × 5¹ × 17¹ × 19¹

Step-2: Prime Factorization of 51697

Prime factors of 51697 are 17, 3041. Prime factorization of 51697 in exponential form is:

51697 = 17¹ × 3041¹

Step-3: Factors of 51680

List of positive integer factors of 51680 that divides 51680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 19, 20, 32, 34, 38, 40, 68, 76, 80, 85, 95, 136, 152, 160, 170, 190, 272, 304, 323, 340, 380, 544, 608, 646, 680, 760, 1292, 1360, 1520, 1615, 2584, 2720, 3040, 3230, 5168, 6460, 10336, 12920, 25840

Step-4: Factors of 51697

List of positive integer factors of 51697 that divides 51680 without a remainder.

1, 17, 3041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51680 and 51697. The biggest common factor number is the GCF number.
So the greatest common factor 51680 and 51697 is 17.

Also check out the Least Common Multiple of 51680 and 51697