What is the Greatest Common Factor of 25408 and 25424?

Greatest common factor (GCF) of 25408 and 25424 is 16.

GCF(25408,25424) = 16

We will now calculate the prime factors of 25408 and 25424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25408 and 25424.

How to find the GCF of 25408 and 25424?

We will first find the prime factorization of 25408 and 25424. After we will calculate the factors of 25408 and 25424 and find the biggest common factor number .

Step-1: Prime Factorization of 25408

Prime factors of 25408 are 2, 397. Prime factorization of 25408 in exponential form is:

25408 = 2⁶ × 397¹

Step-2: Prime Factorization of 25424

Prime factors of 25424 are 2, 7, 227. Prime factorization of 25424 in exponential form is:

25424 = 2⁴ × 7¹ × 227¹

Step-3: Factors of 25408

List of positive integer factors of 25408 that divides 25408 without a remainder.

1, 2, 4, 8, 16, 32, 64, 397, 794, 1588, 3176, 6352, 12704

Step-4: Factors of 25424

List of positive integer factors of 25424 that divides 25408 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 227, 454, 908, 1589, 1816, 3178, 3632, 6356, 12712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25408 and 25424. The biggest common factor number is the GCF number.
So the greatest common factor 25408 and 25424 is 16.

Also check out the Least Common Multiple of 25408 and 25424