What is the Greatest Common Factor of 25400 and 25414?

Greatest common factor (GCF) of 25400 and 25414 is 2.

GCF(25400,25414) = 2

We will now calculate the prime factors of 25400 and 25414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25400 and 25414.

How to find the GCF of 25400 and 25414?

We will first find the prime factorization of 25400 and 25414. After we will calculate the factors of 25400 and 25414 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 25414

Prime factors of 25414 are 2, 97, 131. Prime factorization of 25414 in exponential form is:

25414 = 2¹ × 97¹ × 131¹

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 25414

List of positive integer factors of 25414 that divides 25400 without a remainder.

1, 2, 97, 131, 194, 262, 12707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25400 and 25414. The biggest common factor number is the GCF number.
So the greatest common factor 25400 and 25414 is 2.

Also check out the Least Common Multiple of 25400 and 25414