What is the Greatest Common Factor of 25179 and 25190?

Greatest common factor (GCF) of 25179 and 25190 is 11.

GCF(25179,25190) = 11

We will now calculate the prime factors of 25179 and 25190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25179 and 25190.

How to find the GCF of 25179 and 25190?

We will first find the prime factorization of 25179 and 25190. After we will calculate the factors of 25179 and 25190 and find the biggest common factor number .

Step-1: Prime Factorization of 25179

Prime factors of 25179 are 3, 7, 11, 109. Prime factorization of 25179 in exponential form is:

25179 = 3¹ × 7¹ × 11¹ × 109¹

Step-2: Prime Factorization of 25190

Prime factors of 25190 are 2, 5, 11, 229. Prime factorization of 25190 in exponential form is:

25190 = 2¹ × 5¹ × 11¹ × 229¹

Step-3: Factors of 25179

List of positive integer factors of 25179 that divides 25179 without a remainder.

1, 3, 7, 11, 21, 33, 77, 109, 231, 327, 763, 1199, 2289, 3597, 8393

Step-4: Factors of 25190

List of positive integer factors of 25190 that divides 25179 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 229, 458, 1145, 2290, 2519, 5038, 12595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25179 and 25190. The biggest common factor number is the GCF number.
So the greatest common factor 25179 and 25190 is 11.

Also check out the Least Common Multiple of 25179 and 25190