What is the Greatest Common Factor of 25472 and 25480?

Greatest common factor (GCF) of 25472 and 25480 is 8.

GCF(25472,25480) = 8

We will now calculate the prime factors of 25472 and 25480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25472 and 25480.

How to find the GCF of 25472 and 25480?

We will first find the prime factorization of 25472 and 25480. After we will calculate the factors of 25472 and 25480 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 25480

Prime factors of 25480 are 2, 5, 7, 13. Prime factorization of 25480 in exponential form is:

25480 = 2³ × 5¹ × 7² × 13¹

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 25480

List of positive integer factors of 25480 that divides 25472 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 49, 52, 56, 65, 70, 91, 98, 104, 130, 140, 182, 196, 245, 260, 280, 364, 392, 455, 490, 520, 637, 728, 910, 980, 1274, 1820, 1960, 2548, 3185, 3640, 5096, 6370, 12740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25472 and 25480. The biggest common factor number is the GCF number.
So the greatest common factor 25472 and 25480 is 8.

Also check out the Least Common Multiple of 25472 and 25480