What is the Greatest Common Factor of 25652 and 25664?

Greatest common factor (GCF) of 25652 and 25664 is 4.

GCF(25652,25664) = 4

We will now calculate the prime factors of 25652 and 25664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25652 and 25664.

How to find the GCF of 25652 and 25664?

We will first find the prime factorization of 25652 and 25664. After we will calculate the factors of 25652 and 25664 and find the biggest common factor number .

Step-1: Prime Factorization of 25652

Prime factors of 25652 are 2, 11, 53. Prime factorization of 25652 in exponential form is:

25652 = 2² × 11² × 53¹

Step-2: Prime Factorization of 25664

Prime factors of 25664 are 2, 401. Prime factorization of 25664 in exponential form is:

25664 = 2⁶ × 401¹

Step-3: Factors of 25652

List of positive integer factors of 25652 that divides 25652 without a remainder.

1, 2, 4, 11, 22, 44, 53, 106, 121, 212, 242, 484, 583, 1166, 2332, 6413, 12826

Step-4: Factors of 25664

List of positive integer factors of 25664 that divides 25652 without a remainder.

1, 2, 4, 8, 16, 32, 64, 401, 802, 1604, 3208, 6416, 12832

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25652 and 25664. The biggest common factor number is the GCF number.
So the greatest common factor 25652 and 25664 is 4.

Also check out the Least Common Multiple of 25652 and 25664