What is the Greatest Common Factor of 25144 and 25158?

Greatest common factor (GCF) of 25144 and 25158 is 14.

GCF(25144,25158) = 14

We will now calculate the prime factors of 25144 and 25158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25144 and 25158.

How to find the GCF of 25144 and 25158?

We will first find the prime factorization of 25144 and 25158. After we will calculate the factors of 25144 and 25158 and find the biggest common factor number .

Step-1: Prime Factorization of 25144

Prime factors of 25144 are 2, 7, 449. Prime factorization of 25144 in exponential form is:

25144 = 2³ × 7¹ × 449¹

Step-2: Prime Factorization of 25158

Prime factors of 25158 are 2, 3, 7, 599. Prime factorization of 25158 in exponential form is:

25158 = 2¹ × 3¹ × 7¹ × 599¹

Step-3: Factors of 25144

List of positive integer factors of 25144 that divides 25144 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 449, 898, 1796, 3143, 3592, 6286, 12572

Step-4: Factors of 25158

List of positive integer factors of 25158 that divides 25144 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 599, 1198, 1797, 3594, 4193, 8386, 12579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25144 and 25158. The biggest common factor number is the GCF number.
So the greatest common factor 25144 and 25158 is 14.

Also check out the Least Common Multiple of 25144 and 25158