What is the Greatest Common Factor of 25456 and 25464?

Greatest common factor (GCF) of 25456 and 25464 is 8.

GCF(25456,25464) = 8

We will now calculate the prime factors of 25456 and 25464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25456 and 25464.

How to find the GCF of 25456 and 25464?

We will first find the prime factorization of 25456 and 25464. After we will calculate the factors of 25456 and 25464 and find the biggest common factor number .

Step-1: Prime Factorization of 25456

Prime factors of 25456 are 2, 37, 43. Prime factorization of 25456 in exponential form is:

25456 = 2⁴ × 37¹ × 43¹

Step-2: Prime Factorization of 25464

Prime factors of 25464 are 2, 3, 1061. Prime factorization of 25464 in exponential form is:

25464 = 2³ × 3¹ × 1061¹

Step-3: Factors of 25456

List of positive integer factors of 25456 that divides 25456 without a remainder.

1, 2, 4, 8, 16, 37, 43, 74, 86, 148, 172, 296, 344, 592, 688, 1591, 3182, 6364, 12728

Step-4: Factors of 25464

List of positive integer factors of 25464 that divides 25456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1061, 2122, 3183, 4244, 6366, 8488, 12732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25456 and 25464. The biggest common factor number is the GCF number.
So the greatest common factor 25456 and 25464 is 8.

Also check out the Least Common Multiple of 25456 and 25464