What is the Greatest Common Factor of 25324 and 25337?

Greatest common factor (GCF) of 25324 and 25337 is 13.

GCF(25324,25337) = 13

We will now calculate the prime factors of 25324 and 25337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25324 and 25337.

How to find the GCF of 25324 and 25337?

We will first find the prime factorization of 25324 and 25337. After we will calculate the factors of 25324 and 25337 and find the biggest common factor number .

Step-1: Prime Factorization of 25324

Prime factors of 25324 are 2, 13, 487. Prime factorization of 25324 in exponential form is:

25324 = 2² × 13¹ × 487¹

Step-2: Prime Factorization of 25337

Prime factors of 25337 are 13, 1949. Prime factorization of 25337 in exponential form is:

25337 = 13¹ × 1949¹

Step-3: Factors of 25324

List of positive integer factors of 25324 that divides 25324 without a remainder.

1, 2, 4, 13, 26, 52, 487, 974, 1948, 6331, 12662

Step-4: Factors of 25337

List of positive integer factors of 25337 that divides 25324 without a remainder.

1, 13, 1949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25324 and 25337. The biggest common factor number is the GCF number.
So the greatest common factor 25324 and 25337 is 13.

Also check out the Least Common Multiple of 25324 and 25337