What is the Greatest Common Factor of 25460 and 25470?

Greatest common factor (GCF) of 25460 and 25470 is 10.

GCF(25460,25470) = 10

We will now calculate the prime factors of 25460 and 25470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25460 and 25470.

How to find the GCF of 25460 and 25470?

We will first find the prime factorization of 25460 and 25470. After we will calculate the factors of 25460 and 25470 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 25470

Prime factors of 25470 are 2, 3, 5, 283. Prime factorization of 25470 in exponential form is:

25470 = 2¹ × 3² × 5¹ × 283¹

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 25470

List of positive integer factors of 25470 that divides 25460 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 283, 566, 849, 1415, 1698, 2547, 2830, 4245, 5094, 8490, 12735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25460 and 25470. The biggest common factor number is the GCF number.
So the greatest common factor 25460 and 25470 is 10.

Also check out the Least Common Multiple of 25460 and 25470