What is the Greatest Common Factor of 25441 and 25460?

Greatest common factor (GCF) of 25441 and 25460 is 19.

GCF(25441,25460) = 19

We will now calculate the prime factors of 25441 and 25460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25441 and 25460.

How to find the GCF of 25441 and 25460?

We will first find the prime factorization of 25441 and 25460. After we will calculate the factors of 25441 and 25460 and find the biggest common factor number .

Step-1: Prime Factorization of 25441

Prime factors of 25441 are 13, 19, 103. Prime factorization of 25441 in exponential form is:

25441 = 13¹ × 19¹ × 103¹

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 25441

List of positive integer factors of 25441 that divides 25441 without a remainder.

1, 13, 19, 103, 247, 1339, 1957

Step-4: Factors of 25460

List of positive integer factors of 25460 that divides 25441 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 25441 and 25460. The biggest common factor number is the GCF number.
So the greatest common factor 25441 and 25460 is 19.

Also check out the Least Common Multiple of 25441 and 25460