What is the Greatest Common Factor of 25628 and 25633?

Greatest common factor (GCF) of 25628 and 25633 is 1.

GCF(25628,25633) = 1

We will now calculate the prime factors of 25628 and 25633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25628 and 25633.

How to find the GCF of 25628 and 25633?

We will first find the prime factorization of 25628 and 25633. After we will calculate the factors of 25628 and 25633 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25633

Prime factors of 25633 are 25633. Prime factorization of 25633 in exponential form is:

25633 = 25633¹

Step-3: Factors of 25628

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

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

Step-4: Factors of 25633

List of positive integer factors of 25633 that divides 25628 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25628 and 25633. The biggest common factor number is the GCF number.
So the greatest common factor 25628 and 25633 is 1.

Also check out the Least Common Multiple of 25628 and 25633