What is the Greatest Common Factor of 25627 and 25645?

Greatest common factor (GCF) of 25627 and 25645 is 1.

GCF(25627,25645) = 1

We will now calculate the prime factors of 25627 and 25645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25627 and 25645.

How to find the GCF of 25627 and 25645?

We will first find the prime factorization of 25627 and 25645. After we will calculate the factors of 25627 and 25645 and find the biggest common factor number .

Step-1: Prime Factorization of 25627

Prime factors of 25627 are 7, 523. Prime factorization of 25627 in exponential form is:

25627 = 7² × 523¹

Step-2: Prime Factorization of 25645

Prime factors of 25645 are 5, 23, 223. Prime factorization of 25645 in exponential form is:

25645 = 5¹ × 23¹ × 223¹

Step-3: Factors of 25627

List of positive integer factors of 25627 that divides 25627 without a remainder.

1, 7, 49, 523, 3661

Step-4: Factors of 25645

List of positive integer factors of 25645 that divides 25627 without a remainder.

1, 5, 23, 115, 223, 1115, 5129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25627 and 25645. The biggest common factor number is the GCF number.
So the greatest common factor 25627 and 25645 is 1.

Also check out the Least Common Multiple of 25627 and 25645