What is the Greatest Common Factor of 25092 and 25101?

Greatest common factor (GCF) of 25092 and 25101 is 9.

GCF(25092,25101) = 9

We will now calculate the prime factors of 25092 and 25101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25092 and 25101.

How to find the GCF of 25092 and 25101?

We will first find the prime factorization of 25092 and 25101. After we will calculate the factors of 25092 and 25101 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 25101

Prime factors of 25101 are 3, 2789. Prime factorization of 25101 in exponential form is:

25101 = 3² × 2789¹

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 25101

List of positive integer factors of 25101 that divides 25092 without a remainder.

1, 3, 9, 2789, 8367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25092 and 25101. The biggest common factor number is the GCF number.
So the greatest common factor 25092 and 25101 is 9.

Also check out the Least Common Multiple of 25092 and 25101