What is the Greatest Common Factor of 25624 and 25628?

Greatest common factor (GCF) of 25624 and 25628 is 4.

GCF(25624,25628) = 4

We will now calculate the prime factors of 25624 and 25628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25624 and 25628.

How to find the GCF of 25624 and 25628?

We will first find the prime factorization of 25624 and 25628. After we will calculate the factors of 25624 and 25628 and find the biggest common factor number .

Step-1: Prime Factorization of 25624

Prime factors of 25624 are 2, 3203. Prime factorization of 25624 in exponential form is:

25624 = 2³ × 3203¹

Step-2: Prime Factorization of 25628

Prime factors of 25628 are 2, 43, 149. Prime factorization of 25628 in exponential form is:

25628 = 2² × 43¹ × 149¹

Step-3: Factors of 25624

List of positive integer factors of 25624 that divides 25624 without a remainder.

1, 2, 4, 8, 3203, 6406, 12812

Step-4: Factors of 25628

List of positive integer factors of 25628 that divides 25624 without a remainder.

1, 2, 4, 43, 86, 149, 172, 298, 596, 6407, 12814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25624 and 25628. The biggest common factor number is the GCF number.
So the greatest common factor 25624 and 25628 is 4.

Also check out the Least Common Multiple of 25624 and 25628