What is the Greatest Common Factor of 25144 and 25159?

Greatest common factor (GCF) of 25144 and 25159 is 1.

GCF(25144,25159) = 1

We will now calculate the prime factors of 25144 and 25159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25144 and 25159.

How to find the GCF of 25144 and 25159?

We will first find the prime factorization of 25144 and 25159. After we will calculate the factors of 25144 and 25159 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 25159

Prime factors of 25159 are 139, 181. Prime factorization of 25159 in exponential form is:

25159 = 139¹ × 181¹

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 25159

List of positive integer factors of 25159 that divides 25144 without a remainder.

1, 139, 181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25144 and 25159. The biggest common factor number is the GCF number.
So the greatest common factor 25144 and 25159 is 1.

Also check out the Least Common Multiple of 25144 and 25159