What is the Greatest Common Factor of 25088 and 25092?

Greatest common factor (GCF) of 25088 and 25092 is 4.

GCF(25088,25092) = 4

We will now calculate the prime factors of 25088 and 25092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25088 and 25092.

How to find the GCF of 25088 and 25092?

We will first find the prime factorization of 25088 and 25092. After we will calculate the factors of 25088 and 25092 and find the biggest common factor number .

Step-1: Prime Factorization of 25088

Prime factors of 25088 are 2, 7. Prime factorization of 25088 in exponential form is:

25088 = 2⁹ × 7²

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 25088

List of positive integer factors of 25088 that divides 25088 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 128, 196, 224, 256, 392, 448, 512, 784, 896, 1568, 1792, 3136, 3584, 6272, 12544

Step-4: Factors of 25092

List of positive integer factors of 25092 that divides 25088 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 25088 and 25092. The biggest common factor number is the GCF number.
So the greatest common factor 25088 and 25092 is 4.

Also check out the Least Common Multiple of 25088 and 25092