What is the Greatest Common Factor of 25129 and 25142?

Greatest common factor (GCF) of 25129 and 25142 is 13.

GCF(25129,25142) = 13

We will now calculate the prime factors of 25129 and 25142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25129 and 25142.

How to find the GCF of 25129 and 25142?

We will first find the prime factorization of 25129 and 25142. After we will calculate the factors of 25129 and 25142 and find the biggest common factor number .

Step-1: Prime Factorization of 25129

Prime factors of 25129 are 13, 1933. Prime factorization of 25129 in exponential form is:

25129 = 13¹ × 1933¹

Step-2: Prime Factorization of 25142

Prime factors of 25142 are 2, 13, 967. Prime factorization of 25142 in exponential form is:

25142 = 2¹ × 13¹ × 967¹

Step-3: Factors of 25129

List of positive integer factors of 25129 that divides 25129 without a remainder.

1, 13, 1933

Step-4: Factors of 25142

List of positive integer factors of 25142 that divides 25129 without a remainder.

1, 2, 13, 26, 967, 1934, 12571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25129 and 25142. The biggest common factor number is the GCF number.
So the greatest common factor 25129 and 25142 is 13.

Also check out the Least Common Multiple of 25129 and 25142