What is the Greatest Common Factor of 25104 and 25119?

Greatest common factor (GCF) of 25104 and 25119 is 3.

GCF(25104,25119) = 3

We will now calculate the prime factors of 25104 and 25119, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25104 and 25119.

How to find the GCF of 25104 and 25119?

We will first find the prime factorization of 25104 and 25119. After we will calculate the factors of 25104 and 25119 and find the biggest common factor number .

Step-1: Prime Factorization of 25104

Prime factors of 25104 are 2, 3, 523. Prime factorization of 25104 in exponential form is:

25104 = 2⁴ × 3¹ × 523¹

Step-2: Prime Factorization of 25119

Prime factors of 25119 are 3, 2791. Prime factorization of 25119 in exponential form is:

25119 = 3² × 2791¹

Step-3: Factors of 25104

List of positive integer factors of 25104 that divides 25104 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 523, 1046, 1569, 2092, 3138, 4184, 6276, 8368, 12552

Step-4: Factors of 25119

List of positive integer factors of 25119 that divides 25104 without a remainder.

1, 3, 9, 2791, 8373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25104 and 25119. The biggest common factor number is the GCF number.
So the greatest common factor 25104 and 25119 is 3.

Also check out the Least Common Multiple of 25104 and 25119