What is the Greatest Common Factor of 51680 and 51688?

Greatest common factor (GCF) of 51680 and 51688 is 8.

GCF(51680,51688) = 8

We will now calculate the prime factors of 51680 and 51688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51680 and 51688.

How to find the GCF of 51680 and 51688?

We will first find the prime factorization of 51680 and 51688. After we will calculate the factors of 51680 and 51688 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 51688

Prime factors of 51688 are 2, 7, 13, 71. Prime factorization of 51688 in exponential form is:

51688 = 2³ × 7¹ × 13¹ × 71¹

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 51688

List of positive integer factors of 51688 that divides 51680 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 71, 91, 104, 142, 182, 284, 364, 497, 568, 728, 923, 994, 1846, 1988, 3692, 3976, 6461, 7384, 12922, 25844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51680 and 51688. The biggest common factor number is the GCF number.
So the greatest common factor 51680 and 51688 is 8.

Also check out the Least Common Multiple of 51680 and 51688