What is the Greatest Common Factor of 25074 and 25092?

Greatest common factor (GCF) of 25074 and 25092 is 18.

GCF(25074,25092) = 18

We will now calculate the prime factors of 25074 and 25092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25074 and 25092.

How to find the GCF of 25074 and 25092?

We will first find the prime factorization of 25074 and 25092. After we will calculate the factors of 25074 and 25092 and find the biggest common factor number .

Step-1: Prime Factorization of 25074

Prime factors of 25074 are 2, 3, 7, 199. Prime factorization of 25074 in exponential form is:

25074 = 2¹ × 3² × 7¹ × 199¹

Step-2: 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-3: Factors of 25074

List of positive integer factors of 25074 that divides 25074 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 199, 398, 597, 1194, 1393, 1791, 2786, 3582, 4179, 8358, 12537

Step-4: Factors of 25092

List of positive integer factors of 25092 that divides 25074 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25074 and 25092. The biggest common factor number is the GCF number.
So the greatest common factor 25074 and 25092 is 18.

Also check out the Least Common Multiple of 25074 and 25092