What is the Greatest Common Factor of 25445 and 25460?

Greatest common factor (GCF) of 25445 and 25460 is 5.

GCF(25445,25460) = 5

We will now calculate the prime factors of 25445 and 25460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25445 and 25460.

How to find the GCF of 25445 and 25460?

We will first find the prime factorization of 25445 and 25460. After we will calculate the factors of 25445 and 25460 and find the biggest common factor number .

Step-1: Prime Factorization of 25445

Prime factors of 25445 are 5, 7, 727. Prime factorization of 25445 in exponential form is:

25445 = 5¹ × 7¹ × 727¹

Step-2: 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-3: Factors of 25445

List of positive integer factors of 25445 that divides 25445 without a remainder.

1, 5, 7, 35, 727, 3635, 5089

Step-4: Factors of 25460

List of positive integer factors of 25460 that divides 25445 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25445 and 25460. The biggest common factor number is the GCF number.
So the greatest common factor 25445 and 25460 is 5.

Also check out the Least Common Multiple of 25445 and 25460