What is the Greatest Common Factor of 25315 and 25328?

Greatest common factor (GCF) of 25315 and 25328 is 1.

GCF(25315,25328) = 1

We will now calculate the prime factors of 25315 and 25328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25315 and 25328.

How to find the GCF of 25315 and 25328?

We will first find the prime factorization of 25315 and 25328. After we will calculate the factors of 25315 and 25328 and find the biggest common factor number .

Step-1: Prime Factorization of 25315

Prime factors of 25315 are 5, 61, 83. Prime factorization of 25315 in exponential form is:

25315 = 5¹ × 61¹ × 83¹

Step-2: Prime Factorization of 25328

Prime factors of 25328 are 2, 1583. Prime factorization of 25328 in exponential form is:

25328 = 2⁴ × 1583¹

Step-3: Factors of 25315

List of positive integer factors of 25315 that divides 25315 without a remainder.

1, 5, 61, 83, 305, 415, 5063

Step-4: Factors of 25328

List of positive integer factors of 25328 that divides 25315 without a remainder.

1, 2, 4, 8, 16, 1583, 3166, 6332, 12664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25315 and 25328. The biggest common factor number is the GCF number.
So the greatest common factor 25315 and 25328 is 1.

Also check out the Least Common Multiple of 25315 and 25328