What is the Greatest Common Factor of 51664 and 51680?

Greatest common factor (GCF) of 51664 and 51680 is 16.

GCF(51664,51680) = 16

We will now calculate the prime factors of 51664 and 51680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51664 and 51680.

How to find the GCF of 51664 and 51680?

We will first find the prime factorization of 51664 and 51680. After we will calculate the factors of 51664 and 51680 and find the biggest common factor number .

Step-1: Prime Factorization of 51664

Prime factors of 51664 are 2, 3229. Prime factorization of 51664 in exponential form is:

51664 = 2⁴ × 3229¹

Step-2: 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-3: Factors of 51664

List of positive integer factors of 51664 that divides 51664 without a remainder.

1, 2, 4, 8, 16, 3229, 6458, 12916, 25832

Step-4: Factors of 51680

List of positive integer factors of 51680 that divides 51664 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51664 and 51680. The biggest common factor number is the GCF number.
So the greatest common factor 51664 and 51680 is 16.

Also check out the Least Common Multiple of 51664 and 51680