What is the Greatest Common Factor of 25092 and 25097?

Greatest common factor (GCF) of 25092 and 25097 is 1.

GCF(25092,25097) = 1

We will now calculate the prime factors of 25092 and 25097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25092 and 25097.

How to find the GCF of 25092 and 25097?

We will first find the prime factorization of 25092 and 25097. After we will calculate the factors of 25092 and 25097 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 25097

Prime factors of 25097 are 25097. Prime factorization of 25097 in exponential form is:

25097 = 25097¹

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 25097

List of positive integer factors of 25097 that divides 25092 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25092 and 25097. The biggest common factor number is the GCF number.
So the greatest common factor 25092 and 25097 is 1.

Also check out the Least Common Multiple of 25092 and 25097