What is the Greatest Common Factor of 25460 and 25477?

Greatest common factor (GCF) of 25460 and 25477 is 1.

GCF(25460,25477) = 1

We will now calculate the prime factors of 25460 and 25477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25460 and 25477.

How to find the GCF of 25460 and 25477?

We will first find the prime factorization of 25460 and 25477. After we will calculate the factors of 25460 and 25477 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 25477

Prime factors of 25477 are 73, 349. Prime factorization of 25477 in exponential form is:

25477 = 73¹ × 349¹

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 25477

List of positive integer factors of 25477 that divides 25460 without a remainder.

1, 73, 349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25460 and 25477. The biggest common factor number is the GCF number.
So the greatest common factor 25460 and 25477 is 1.

Also check out the Least Common Multiple of 25460 and 25477