What is the Greatest Common Factor of 51680 and 51685?

Greatest common factor (GCF) of 51680 and 51685 is 5.

GCF(51680,51685) = 5

We will now calculate the prime factors of 51680 and 51685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51680 and 51685.

How to find the GCF of 51680 and 51685?

We will first find the prime factorization of 51680 and 51685. After we will calculate the factors of 51680 and 51685 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 51685

Prime factors of 51685 are 5, 10337. Prime factorization of 51685 in exponential form is:

51685 = 5¹ × 10337¹

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 51685

List of positive integer factors of 51685 that divides 51680 without a remainder.

1, 5, 10337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51680 and 51685. The biggest common factor number is the GCF number.
So the greatest common factor 51680 and 51685 is 5.

Also check out the Least Common Multiple of 51680 and 51685