What is the Greatest Common Factor of 25472 and 25491?

Greatest common factor (GCF) of 25472 and 25491 is 1.

GCF(25472,25491) = 1

We will now calculate the prime factors of 25472 and 25491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25472 and 25491.

How to find the GCF of 25472 and 25491?

We will first find the prime factorization of 25472 and 25491. After we will calculate the factors of 25472 and 25491 and find the biggest common factor number .

Step-1: Prime Factorization of 25472

Prime factors of 25472 are 2, 199. Prime factorization of 25472 in exponential form is:

25472 = 2⁷ × 199¹

Step-2: Prime Factorization of 25491

Prime factors of 25491 are 3, 29, 293. Prime factorization of 25491 in exponential form is:

25491 = 3¹ × 29¹ × 293¹

Step-3: Factors of 25472

List of positive integer factors of 25472 that divides 25472 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 199, 398, 796, 1592, 3184, 6368, 12736

Step-4: Factors of 25491

List of positive integer factors of 25491 that divides 25472 without a remainder.

1, 3, 29, 87, 293, 879, 8497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25472 and 25491. The biggest common factor number is the GCF number.
So the greatest common factor 25472 and 25491 is 1.

Also check out the Least Common Multiple of 25472 and 25491