What is the Greatest Common Factor of 25108 and 25121?

Greatest common factor (GCF) of 25108 and 25121 is 1.

GCF(25108,25121) = 1

We will now calculate the prime factors of 25108 and 25121, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25108 and 25121.

How to find the GCF of 25108 and 25121?

We will first find the prime factorization of 25108 and 25121. After we will calculate the factors of 25108 and 25121 and find the biggest common factor number .

Step-1: Prime Factorization of 25108

Prime factors of 25108 are 2, 6277. Prime factorization of 25108 in exponential form is:

25108 = 2² × 6277¹

Step-2: Prime Factorization of 25121

Prime factors of 25121 are 25121. Prime factorization of 25121 in exponential form is:

25121 = 25121¹

Step-3: Factors of 25108

List of positive integer factors of 25108 that divides 25108 without a remainder.

1, 2, 4, 6277, 12554

Step-4: Factors of 25121

List of positive integer factors of 25121 that divides 25108 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25108 and 25121. The biggest common factor number is the GCF number.
So the greatest common factor 25108 and 25121 is 1.

Also check out the Least Common Multiple of 25108 and 25121