What is the Greatest Common Factor of 51478 and 51492?

Greatest common factor (GCF) of 51478 and 51492 is 14.

GCF(51478,51492) = 14

We will now calculate the prime factors of 51478 and 51492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51478 and 51492.

How to find the GCF of 51478 and 51492?

We will first find the prime factorization of 51478 and 51492. After we will calculate the factors of 51478 and 51492 and find the biggest common factor number .

Step-1: Prime Factorization of 51478

Prime factors of 51478 are 2, 7, 3677. Prime factorization of 51478 in exponential form is:

51478 = 2¹ × 7¹ × 3677¹

Step-2: 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-3: Factors of 51478

List of positive integer factors of 51478 that divides 51478 without a remainder.

1, 2, 7, 14, 3677, 7354, 25739

Step-4: Factors of 51492

List of positive integer factors of 51492 that divides 51478 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51478 and 51492. The biggest common factor number is the GCF number.
So the greatest common factor 51478 and 51492 is 14.

Also check out the Least Common Multiple of 51478 and 51492