What is the Greatest Common Factor of 51474 and 51492?

Greatest common factor (GCF) of 51474 and 51492 is 6.

GCF(51474,51492) = 6

We will now calculate the prime factors of 51474 and 51492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51474 and 51492.

How to find the GCF of 51474 and 51492?

We will first find the prime factorization of 51474 and 51492. After we will calculate the factors of 51474 and 51492 and find the biggest common factor number .

Step-1: Prime Factorization of 51474

Prime factors of 51474 are 2, 3, 23, 373. Prime factorization of 51474 in exponential form is:

51474 = 2¹ × 3¹ × 23¹ × 373¹

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 51474

List of positive integer factors of 51474 that divides 51474 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 373, 746, 1119, 2238, 8579, 17158, 25737

Step-4: Factors of 51492

List of positive integer factors of 51492 that divides 51474 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 51474 and 51492. The biggest common factor number is the GCF number.
So the greatest common factor 51474 and 51492 is 6.

Also check out the Least Common Multiple of 51474 and 51492