What is the Greatest Common Factor of 25450 and 25460?

Greatest common factor (GCF) of 25450 and 25460 is 10.

GCF(25450,25460) = 10

We will now calculate the prime factors of 25450 and 25460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25450 and 25460.

How to find the GCF of 25450 and 25460?

We will first find the prime factorization of 25450 and 25460. After we will calculate the factors of 25450 and 25460 and find the biggest common factor number .

Step-1: Prime Factorization of 25450

Prime factors of 25450 are 2, 5, 509. Prime factorization of 25450 in exponential form is:

25450 = 2¹ × 5² × 509¹

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 25450

List of positive integer factors of 25450 that divides 25450 without a remainder.

1, 2, 5, 10, 25, 50, 509, 1018, 2545, 5090, 12725

Step-4: Factors of 25460

List of positive integer factors of 25460 that divides 25450 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 25450 and 25460. The biggest common factor number is the GCF number.
So the greatest common factor 25450 and 25460 is 10.

Also check out the Least Common Multiple of 25450 and 25460