What is the Greatest Common Factor of 25472 and 25490?

Greatest common factor (GCF) of 25472 and 25490 is 2.

GCF(25472,25490) = 2

We will now calculate the prime factors of 25472 and 25490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25472 and 25490.

How to find the GCF of 25472 and 25490?

We will first find the prime factorization of 25472 and 25490. After we will calculate the factors of 25472 and 25490 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 25490

Prime factors of 25490 are 2, 5, 2549. Prime factorization of 25490 in exponential form is:

25490 = 2¹ × 5¹ × 2549¹

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 25490

List of positive integer factors of 25490 that divides 25472 without a remainder.

1, 2, 5, 10, 2549, 5098, 12745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25472 and 25490. The biggest common factor number is the GCF number.
So the greatest common factor 25472 and 25490 is 2.

Also check out the Least Common Multiple of 25472 and 25490