What is the Greatest Common Factor of 25088 and 25102?

Greatest common factor (GCF) of 25088 and 25102 is 14.

GCF(25088,25102) = 14

We will now calculate the prime factors of 25088 and 25102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25088 and 25102.

How to find the GCF of 25088 and 25102?

We will first find the prime factorization of 25088 and 25102. After we will calculate the factors of 25088 and 25102 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 25102

Prime factors of 25102 are 2, 7, 11, 163. Prime factorization of 25102 in exponential form is:

25102 = 2¹ × 7¹ × 11¹ × 163¹

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 25102

List of positive integer factors of 25102 that divides 25088 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 163, 326, 1141, 1793, 2282, 3586, 12551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25088 and 25102. The biggest common factor number is the GCF number.
So the greatest common factor 25088 and 25102 is 14.

Also check out the Least Common Multiple of 25088 and 25102