What is the Greatest Common Factor of 25466 and 25472?

Greatest common factor (GCF) of 25466 and 25472 is 2.

GCF(25466,25472) = 2

We will now calculate the prime factors of 25466 and 25472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25466 and 25472.

How to find the GCF of 25466 and 25472?

We will first find the prime factorization of 25466 and 25472. After we will calculate the factors of 25466 and 25472 and find the biggest common factor number .

Step-1: Prime Factorization of 25466

Prime factors of 25466 are 2, 7, 17, 107. Prime factorization of 25466 in exponential form is:

25466 = 2¹ × 7¹ × 17¹ × 107¹

Step-2: Prime Factorization of 25472

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

25472 = 2⁷ × 199¹

Step-3: Factors of 25466

List of positive integer factors of 25466 that divides 25466 without a remainder.

1, 2, 7, 14, 17, 34, 107, 119, 214, 238, 749, 1498, 1819, 3638, 12733

Step-4: Factors of 25472

List of positive integer factors of 25472 that divides 25466 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25466 and 25472. The biggest common factor number is the GCF number.
So the greatest common factor 25466 and 25472 is 2.

Also check out the Least Common Multiple of 25466 and 25472