What is the Greatest Common Factor of 25400 and 25408?

Greatest common factor (GCF) of 25400 and 25408 is 8.

GCF(25400,25408) = 8

We will now calculate the prime factors of 25400 and 25408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25400 and 25408.

How to find the GCF of 25400 and 25408?

We will first find the prime factorization of 25400 and 25408. After we will calculate the factors of 25400 and 25408 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 25408

Prime factors of 25408 are 2, 397. Prime factorization of 25408 in exponential form is:

25408 = 2⁶ × 397¹

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 25408

List of positive integer factors of 25408 that divides 25400 without a remainder.

1, 2, 4, 8, 16, 32, 64, 397, 794, 1588, 3176, 6352, 12704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25400 and 25408. The biggest common factor number is the GCF number.
So the greatest common factor 25400 and 25408 is 8.

Also check out the Least Common Multiple of 25400 and 25408