What is the Greatest Common Factor of 25072 and 25088?

Greatest common factor (GCF) of 25072 and 25088 is 16.

GCF(25072,25088) = 16

We will now calculate the prime factors of 25072 and 25088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25072 and 25088.

How to find the GCF of 25072 and 25088?

We will first find the prime factorization of 25072 and 25088. After we will calculate the factors of 25072 and 25088 and find the biggest common factor number .

Step-1: Prime Factorization of 25072

Prime factors of 25072 are 2, 1567. Prime factorization of 25072 in exponential form is:

25072 = 2⁴ × 1567¹

Step-2: Prime Factorization of 25088

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

25088 = 2⁹ × 7²

Step-3: Factors of 25072

List of positive integer factors of 25072 that divides 25072 without a remainder.

1, 2, 4, 8, 16, 1567, 3134, 6268, 12536

Step-4: Factors of 25088

List of positive integer factors of 25088 that divides 25072 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25072 and 25088. The biggest common factor number is the GCF number.
So the greatest common factor 25072 and 25088 is 16.

Also check out the Least Common Multiple of 25072 and 25088