What is the Greatest Common Factor of 25067 and 25072?

Greatest common factor (GCF) of 25067 and 25072 is 1.

GCF(25067,25072) = 1

We will now calculate the prime factors of 25067 and 25072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25067 and 25072.

How to find the GCF of 25067 and 25072?

We will first find the prime factorization of 25067 and 25072. After we will calculate the factors of 25067 and 25072 and find the biggest common factor number .

Step-1: Prime Factorization of 25067

Prime factors of 25067 are 7, 3581. Prime factorization of 25067 in exponential form is:

25067 = 7¹ × 3581¹

Step-2: Prime Factorization of 25072

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

25072 = 2⁴ × 1567¹

Step-3: Factors of 25067

List of positive integer factors of 25067 that divides 25067 without a remainder.

1, 7, 3581

Step-4: Factors of 25072

List of positive integer factors of 25072 that divides 25067 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25067 and 25072. The biggest common factor number is the GCF number.
So the greatest common factor 25067 and 25072 is 1.

Also check out the Least Common Multiple of 25067 and 25072