What is the Greatest Common Factor of 25604 and 25624?

Greatest common factor (GCF) of 25604 and 25624 is 4.

GCF(25604,25624) = 4

We will now calculate the prime factors of 25604 and 25624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25604 and 25624.

How to find the GCF of 25604 and 25624?

We will first find the prime factorization of 25604 and 25624. After we will calculate the factors of 25604 and 25624 and find the biggest common factor number .

Step-1: Prime Factorization of 25604

Prime factors of 25604 are 2, 37, 173. Prime factorization of 25604 in exponential form is:

25604 = 2² × 37¹ × 173¹

Step-2: Prime Factorization of 25624

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

25624 = 2³ × 3203¹

Step-3: Factors of 25604

List of positive integer factors of 25604 that divides 25604 without a remainder.

1, 2, 4, 37, 74, 148, 173, 346, 692, 6401, 12802

Step-4: Factors of 25624

List of positive integer factors of 25624 that divides 25604 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25604 and 25624. The biggest common factor number is the GCF number.
So the greatest common factor 25604 and 25624 is 4.

Also check out the Least Common Multiple of 25604 and 25624