What is the Greatest Common Factor of 25557 and 25564?

Greatest common factor (GCF) of 25557 and 25564 is 7.

GCF(25557,25564) = 7

We will now calculate the prime factors of 25557 and 25564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25557 and 25564.

How to find the GCF of 25557 and 25564?

We will first find the prime factorization of 25557 and 25564. After we will calculate the factors of 25557 and 25564 and find the biggest common factor number .

Step-1: Prime Factorization of 25557

Prime factors of 25557 are 3, 7, 1217. Prime factorization of 25557 in exponential form is:

25557 = 3¹ × 7¹ × 1217¹

Step-2: Prime Factorization of 25564

Prime factors of 25564 are 2, 7, 11, 83. Prime factorization of 25564 in exponential form is:

25564 = 2² × 7¹ × 11¹ × 83¹

Step-3: Factors of 25557

List of positive integer factors of 25557 that divides 25557 without a remainder.

1, 3, 7, 21, 1217, 3651, 8519

Step-4: Factors of 25564

List of positive integer factors of 25564 that divides 25557 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 83, 154, 166, 308, 332, 581, 913, 1162, 1826, 2324, 3652, 6391, 12782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25557 and 25564. The biggest common factor number is the GCF number.
So the greatest common factor 25557 and 25564 is 7.

Also check out the Least Common Multiple of 25557 and 25564