What is the Greatest Common Factor of 25072 and 25082?

Greatest common factor (GCF) of 25072 and 25082 is 2.

GCF(25072,25082) = 2

We will now calculate the prime factors of 25072 and 25082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25072 and 25082.

How to find the GCF of 25072 and 25082?

We will first find the prime factorization of 25072 and 25082. After we will calculate the factors of 25072 and 25082 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 25082

Prime factors of 25082 are 2, 12541. Prime factorization of 25082 in exponential form is:

25082 = 2¹ × 12541¹

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 25082

List of positive integer factors of 25082 that divides 25072 without a remainder.

1, 2, 12541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25072 and 25082. The biggest common factor number is the GCF number.
So the greatest common factor 25072 and 25082 is 2.

Also check out the Least Common Multiple of 25072 and 25082