What is the Greatest Common Factor of 25466 and 25483?

Greatest common factor (GCF) of 25466 and 25483 is 17.

GCF(25466,25483) = 17

We will now calculate the prime factors of 25466 and 25483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25466 and 25483.

How to find the GCF of 25466 and 25483?

We will first find the prime factorization of 25466 and 25483. After we will calculate the factors of 25466 and 25483 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 25483

Prime factors of 25483 are 17, 1499. Prime factorization of 25483 in exponential form is:

25483 = 17¹ × 1499¹

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 25483

List of positive integer factors of 25483 that divides 25466 without a remainder.

1, 17, 1499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25466 and 25483. The biggest common factor number is the GCF number.
So the greatest common factor 25466 and 25483 is 17.

Also check out the Least Common Multiple of 25466 and 25483