What is the Greatest Common Factor of 25460 and 25468?

Greatest common factor (GCF) of 25460 and 25468 is 4.

GCF(25460,25468) = 4

We will now calculate the prime factors of 25460 and 25468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25460 and 25468.

How to find the GCF of 25460 and 25468?

We will first find the prime factorization of 25460 and 25468. After we will calculate the factors of 25460 and 25468 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 25468

Prime factors of 25468 are 2, 6367. Prime factorization of 25468 in exponential form is:

25468 = 2² × 6367¹

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 25468

List of positive integer factors of 25468 that divides 25460 without a remainder.

1, 2, 4, 6367, 12734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25460 and 25468. The biggest common factor number is the GCF number.
So the greatest common factor 25460 and 25468 is 4.

Also check out the Least Common Multiple of 25460 and 25468