What is the Greatest Common Factor of 25400 and 25416?

Greatest common factor (GCF) of 25400 and 25416 is 8.

GCF(25400,25416) = 8

We will now calculate the prime factors of 25400 and 25416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25400 and 25416.

How to find the GCF of 25400 and 25416?

We will first find the prime factorization of 25400 and 25416. After we will calculate the factors of 25400 and 25416 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 25416

Prime factors of 25416 are 2, 3, 353. Prime factorization of 25416 in exponential form is:

25416 = 2³ × 3² × 353¹

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 25416

List of positive integer factors of 25416 that divides 25400 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 353, 706, 1059, 1412, 2118, 2824, 3177, 4236, 6354, 8472, 12708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25400 and 25416. The biggest common factor number is the GCF number.
So the greatest common factor 25400 and 25416 is 8.

Also check out the Least Common Multiple of 25400 and 25416