What is the Greatest Common Factor of 51696 and 51708?

Greatest common factor (GCF) of 51696 and 51708 is 12.

GCF(51696,51708) = 12

We will now calculate the prime factors of 51696 and 51708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51696 and 51708.

How to find the GCF of 51696 and 51708?

We will first find the prime factorization of 51696 and 51708. After we will calculate the factors of 51696 and 51708 and find the biggest common factor number .

Step-1: Prime Factorization of 51696

Prime factors of 51696 are 2, 3, 359. Prime factorization of 51696 in exponential form is:

51696 = 2⁴ × 3² × 359¹

Step-2: Prime Factorization of 51708

Prime factors of 51708 are 2, 3, 31, 139. Prime factorization of 51708 in exponential form is:

51708 = 2² × 3¹ × 31¹ × 139¹

Step-3: Factors of 51696

List of positive integer factors of 51696 that divides 51696 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 359, 718, 1077, 1436, 2154, 2872, 3231, 4308, 5744, 6462, 8616, 12924, 17232, 25848

Step-4: Factors of 51708

List of positive integer factors of 51708 that divides 51696 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 139, 186, 278, 372, 417, 556, 834, 1668, 4309, 8618, 12927, 17236, 25854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51696 and 51708. The biggest common factor number is the GCF number.
So the greatest common factor 51696 and 51708 is 12.

Also check out the Least Common Multiple of 51696 and 51708