What is the Greatest Common Factor of 25466 and 25474?

Greatest common factor (GCF) of 25466 and 25474 is 2.

GCF(25466,25474) = 2

We will now calculate the prime factors of 25466 and 25474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25466 and 25474.

How to find the GCF of 25466 and 25474?

We will first find the prime factorization of 25466 and 25474. After we will calculate the factors of 25466 and 25474 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 25474

Prime factors of 25474 are 2, 47, 271. Prime factorization of 25474 in exponential form is:

25474 = 2¹ × 47¹ × 271¹

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 25474

List of positive integer factors of 25474 that divides 25466 without a remainder.

1, 2, 47, 94, 271, 542, 12737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25466 and 25474. The biggest common factor number is the GCF number.
So the greatest common factor 25466 and 25474 is 2.

Also check out the Least Common Multiple of 25466 and 25474