What is the Greatest Common Factor of 25113 and 25132?

Greatest common factor (GCF) of 25113 and 25132 is 1.

GCF(25113,25132) = 1

We will now calculate the prime factors of 25113 and 25132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25113 and 25132.

How to find the GCF of 25113 and 25132?

We will first find the prime factorization of 25113 and 25132. After we will calculate the factors of 25113 and 25132 and find the biggest common factor number .

Step-1: Prime Factorization of 25113

Prime factors of 25113 are 3, 11, 761. Prime factorization of 25113 in exponential form is:

25113 = 3¹ × 11¹ × 761¹

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 25113

List of positive integer factors of 25113 that divides 25113 without a remainder.

1, 3, 11, 33, 761, 2283, 8371

Step-4: Factors of 25132

List of positive integer factors of 25132 that divides 25113 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 25113 and 25132. The biggest common factor number is the GCF number.
So the greatest common factor 25113 and 25132 is 1.

Also check out the Least Common Multiple of 25113 and 25132