What is the Greatest Common Factor of 51548 and 51564?

Greatest common factor (GCF) of 51548 and 51564 is 4.

GCF(51548,51564) = 4

We will now calculate the prime factors of 51548 and 51564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51548 and 51564.

How to find the GCF of 51548 and 51564?

We will first find the prime factorization of 51548 and 51564. After we will calculate the factors of 51548 and 51564 and find the biggest common factor number .

Step-1: Prime Factorization of 51548

Prime factors of 51548 are 2, 7, 263. Prime factorization of 51548 in exponential form is:

51548 = 2² × 7² × 263¹

Step-2: Prime Factorization of 51564

Prime factors of 51564 are 2, 3, 4297. Prime factorization of 51564 in exponential form is:

51564 = 2² × 3¹ × 4297¹

Step-3: Factors of 51548

List of positive integer factors of 51548 that divides 51548 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 263, 526, 1052, 1841, 3682, 7364, 12887, 25774

Step-4: Factors of 51564

List of positive integer factors of 51564 that divides 51548 without a remainder.

1, 2, 3, 4, 6, 12, 4297, 8594, 12891, 17188, 25782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51548 and 51564. The biggest common factor number is the GCF number.
So the greatest common factor 51548 and 51564 is 4.

Also check out the Least Common Multiple of 51548 and 51564