What is the Greatest Common Factor of 51689 and 51708?

Greatest common factor (GCF) of 51689 and 51708 is 1.

GCF(51689,51708) = 1

We will now calculate the prime factors of 51689 and 51708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51689 and 51708.

How to find the GCF of 51689 and 51708?

We will first find the prime factorization of 51689 and 51708. After we will calculate the factors of 51689 and 51708 and find the biggest common factor number .

Step-1: Prime Factorization of 51689

Prime factors of 51689 are 11, 37, 127. Prime factorization of 51689 in exponential form is:

51689 = 11¹ × 37¹ × 127¹

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 51689

List of positive integer factors of 51689 that divides 51689 without a remainder.

1, 11, 37, 127, 407, 1397, 4699

Step-4: Factors of 51708

List of positive integer factors of 51708 that divides 51689 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 51689 and 51708. The biggest common factor number is the GCF number.
So the greatest common factor 51689 and 51708 is 1.

Also check out the Least Common Multiple of 51689 and 51708