What is the Greatest Common Factor of 25460 and 25475?

Greatest common factor (GCF) of 25460 and 25475 is 5.

GCF(25460,25475) = 5

We will now calculate the prime factors of 25460 and 25475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25460 and 25475.

How to find the GCF of 25460 and 25475?

We will first find the prime factorization of 25460 and 25475. After we will calculate the factors of 25460 and 25475 and find the biggest common factor number .

Step-1: Prime Factorization of 25460

Prime factors of 25460 are 2, 5, 19, 67. Prime factorization of 25460 in exponential form is:

25460 = 2² × 5¹ × 19¹ × 67¹

Step-2: Prime Factorization of 25475

Prime factors of 25475 are 5, 1019. Prime factorization of 25475 in exponential form is:

25475 = 5² × 1019¹

Step-3: Factors of 25460

List of positive integer factors of 25460 that divides 25460 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 67, 76, 95, 134, 190, 268, 335, 380, 670, 1273, 1340, 2546, 5092, 6365, 12730

Step-4: Factors of 25475

List of positive integer factors of 25475 that divides 25460 without a remainder.

1, 5, 25, 1019, 5095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25460 and 25475. The biggest common factor number is the GCF number.
So the greatest common factor 25460 and 25475 is 5.

Also check out the Least Common Multiple of 25460 and 25475