What is the Greatest Common Factor of 25144 and 25151?

Greatest common factor (GCF) of 25144 and 25151 is 7.

GCF(25144,25151) = 7

We will now calculate the prime factors of 25144 and 25151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25144 and 25151.

How to find the GCF of 25144 and 25151?

We will first find the prime factorization of 25144 and 25151. After we will calculate the factors of 25144 and 25151 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 25151

Prime factors of 25151 are 7, 3593. Prime factorization of 25151 in exponential form is:

25151 = 7¹ × 3593¹

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 25151

List of positive integer factors of 25151 that divides 25144 without a remainder.

1, 7, 3593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25144 and 25151. The biggest common factor number is the GCF number.
So the greatest common factor 25144 and 25151 is 7.

Also check out the Least Common Multiple of 25144 and 25151