What is the Greatest Common Factor of 51492 and 51506?

Greatest common factor (GCF) of 51492 and 51506 is 14.

GCF(51492,51506) = 14

We will now calculate the prime factors of 51492 and 51506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51492 and 51506.

How to find the GCF of 51492 and 51506?

We will first find the prime factorization of 51492 and 51506. After we will calculate the factors of 51492 and 51506 and find the biggest common factor number .

Step-1: Prime Factorization of 51492

Prime factors of 51492 are 2, 3, 7, 613. Prime factorization of 51492 in exponential form is:

51492 = 2² × 3¹ × 7¹ × 613¹

Step-2: Prime Factorization of 51506

Prime factors of 51506 are 2, 7, 13, 283. Prime factorization of 51506 in exponential form is:

51506 = 2¹ × 7¹ × 13¹ × 283¹

Step-3: Factors of 51492

List of positive integer factors of 51492 that divides 51492 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 613, 1226, 1839, 2452, 3678, 4291, 7356, 8582, 12873, 17164, 25746

Step-4: Factors of 51506

List of positive integer factors of 51506 that divides 51492 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 283, 566, 1981, 3679, 3962, 7358, 25753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51492 and 51506. The biggest common factor number is the GCF number.
So the greatest common factor 51492 and 51506 is 14.

Also check out the Least Common Multiple of 51492 and 51506