What is the Greatest Common Factor of 25092 and 25109?

Greatest common factor (GCF) of 25092 and 25109 is 17.

GCF(25092,25109) = 17

We will now calculate the prime factors of 25092 and 25109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25092 and 25109.

How to find the GCF of 25092 and 25109?

We will first find the prime factorization of 25092 and 25109. After we will calculate the factors of 25092 and 25109 and find the biggest common factor number .

Step-1: Prime Factorization of 25092

Prime factors of 25092 are 2, 3, 17, 41. Prime factorization of 25092 in exponential form is:

25092 = 2² × 3² × 17¹ × 41¹

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 25092

List of positive integer factors of 25092 that divides 25092 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 41, 51, 68, 82, 102, 123, 153, 164, 204, 246, 306, 369, 492, 612, 697, 738, 1394, 1476, 2091, 2788, 4182, 6273, 8364, 12546

Step-4: Factors of 25109

List of positive integer factors of 25109 that divides 25092 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25092 and 25109. The biggest common factor number is the GCF number.
So the greatest common factor 25092 and 25109 is 17.

Also check out the Least Common Multiple of 25092 and 25109