What is the Greatest Common Factor of 25400 and 25420?

Greatest common factor (GCF) of 25400 and 25420 is 20.

GCF(25400,25420) = 20

We will now calculate the prime factors of 25400 and 25420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25400 and 25420.

How to find the GCF of 25400 and 25420?

We will first find the prime factorization of 25400 and 25420. After we will calculate the factors of 25400 and 25420 and find the biggest common factor number .

Step-1: Prime Factorization of 25400

Prime factors of 25400 are 2, 5, 127. Prime factorization of 25400 in exponential form is:

25400 = 2³ × 5² × 127¹

Step-2: Prime Factorization of 25420

Prime factors of 25420 are 2, 5, 31, 41. Prime factorization of 25420 in exponential form is:

25420 = 2² × 5¹ × 31¹ × 41¹

Step-3: Factors of 25400

List of positive integer factors of 25400 that divides 25400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 127, 200, 254, 508, 635, 1016, 1270, 2540, 3175, 5080, 6350, 12700

Step-4: Factors of 25420

List of positive integer factors of 25420 that divides 25400 without a remainder.

1, 2, 4, 5, 10, 20, 31, 41, 62, 82, 124, 155, 164, 205, 310, 410, 620, 820, 1271, 2542, 5084, 6355, 12710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25400 and 25420. The biggest common factor number is the GCF number.
So the greatest common factor 25400 and 25420 is 20.

Also check out the Least Common Multiple of 25400 and 25420