What is the Greatest Common Factor of 25564 and 25577?

Greatest common factor (GCF) of 25564 and 25577 is 1.

GCF(25564,25577) = 1

We will now calculate the prime factors of 25564 and 25577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25564 and 25577.

How to find the GCF of 25564 and 25577?

We will first find the prime factorization of 25564 and 25577. After we will calculate the factors of 25564 and 25577 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25577

Prime factors of 25577 are 25577. Prime factorization of 25577 in exponential form is:

25577 = 25577¹

Step-3: Factors of 25564

List of positive integer factors of 25564 that divides 25564 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

Step-4: Factors of 25577

List of positive integer factors of 25577 that divides 25564 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25564 and 25577. The biggest common factor number is the GCF number.
So the greatest common factor 25564 and 25577 is 1.

Also check out the Least Common Multiple of 25564 and 25577