What is the Greatest Common Factor of 25126 and 25132?

Greatest common factor (GCF) of 25126 and 25132 is 2.

GCF(25126,25132) = 2

We will now calculate the prime factors of 25126 and 25132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25126 and 25132.

How to find the GCF of 25126 and 25132?

We will first find the prime factorization of 25126 and 25132. After we will calculate the factors of 25126 and 25132 and find the biggest common factor number .

Step-1: Prime Factorization of 25126

Prime factors of 25126 are 2, 17, 739. Prime factorization of 25126 in exponential form is:

25126 = 2¹ × 17¹ × 739¹

Step-2: Prime Factorization of 25132

Prime factors of 25132 are 2, 61, 103. Prime factorization of 25132 in exponential form is:

25132 = 2² × 61¹ × 103¹

Step-3: Factors of 25126

List of positive integer factors of 25126 that divides 25126 without a remainder.

1, 2, 17, 34, 739, 1478, 12563

Step-4: Factors of 25132

List of positive integer factors of 25132 that divides 25126 without a remainder.

1, 2, 4, 61, 103, 122, 206, 244, 412, 6283, 12566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25126 and 25132. The biggest common factor number is the GCF number.
So the greatest common factor 25126 and 25132 is 2.

Also check out the Least Common Multiple of 25126 and 25132