What is the Greatest Common Factor of 25114 and 25132?

Greatest common factor (GCF) of 25114 and 25132 is 2.

GCF(25114,25132) = 2

We will now calculate the prime factors of 25114 and 25132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25114 and 25132.

How to find the GCF of 25114 and 25132?

We will first find the prime factorization of 25114 and 25132. After we will calculate the factors of 25114 and 25132 and find the biggest common factor number .

Step-1: Prime Factorization of 25114

Prime factors of 25114 are 2, 29, 433. Prime factorization of 25114 in exponential form is:

25114 = 2¹ × 29¹ × 433¹

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 25114

List of positive integer factors of 25114 that divides 25114 without a remainder.

1, 2, 29, 58, 433, 866, 12557

Step-4: Factors of 25132

List of positive integer factors of 25132 that divides 25114 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 25114 and 25132. The biggest common factor number is the GCF number.
So the greatest common factor 25114 and 25132 is 2.

Also check out the Least Common Multiple of 25114 and 25132