What is the Greatest Common Factor of 51680 and 51695?

Greatest common factor (GCF) of 51680 and 51695 is 5.

GCF(51680,51695) = 5

We will now calculate the prime factors of 51680 and 51695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51680 and 51695.

How to find the GCF of 51680 and 51695?

We will first find the prime factorization of 51680 and 51695. After we will calculate the factors of 51680 and 51695 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 51695

Prime factors of 51695 are 5, 7, 211. Prime factorization of 51695 in exponential form is:

51695 = 5¹ × 7² × 211¹

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 51695

List of positive integer factors of 51695 that divides 51680 without a remainder.

1, 5, 7, 35, 49, 211, 245, 1055, 1477, 7385, 10339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51680 and 51695. The biggest common factor number is the GCF number.
So the greatest common factor 51680 and 51695 is 5.

Also check out the Least Common Multiple of 51680 and 51695