What is the Greatest Common Factor of 25095 and 25109?

Greatest common factor (GCF) of 25095 and 25109 is 7.

GCF(25095,25109) = 7

We will now calculate the prime factors of 25095 and 25109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25095 and 25109.

How to find the GCF of 25095 and 25109?

We will first find the prime factorization of 25095 and 25109. After we will calculate the factors of 25095 and 25109 and find the biggest common factor number .

Step-1: Prime Factorization of 25095

Prime factors of 25095 are 3, 5, 7, 239. Prime factorization of 25095 in exponential form is:

25095 = 3¹ × 5¹ × 7¹ × 239¹

Step-2: Prime Factorization of 25109

Prime factors of 25109 are 7, 17, 211. Prime factorization of 25109 in exponential form is:

25109 = 7¹ × 17¹ × 211¹

Step-3: Factors of 25095

List of positive integer factors of 25095 that divides 25095 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 239, 717, 1195, 1673, 3585, 5019, 8365

Step-4: Factors of 25109

List of positive integer factors of 25109 that divides 25095 without a remainder.

1, 7, 17, 119, 211, 1477, 3587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25095 and 25109. The biggest common factor number is the GCF number.
So the greatest common factor 25095 and 25109 is 7.

Also check out the Least Common Multiple of 25095 and 25109