What is the Greatest Common Factor of 2475 and 2486?

Greatest common factor (GCF) of 2475 and 2486 is 11.

GCF(2475,2486) = 11

We will now calculate the prime factors of 2475 and 2486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2475 and 2486.

How to find the GCF of 2475 and 2486?

We will first find the prime factorization of 2475 and 2486. After we will calculate the factors of 2475 and 2486 and find the biggest common factor number .

Step-1: Prime Factorization of 2475

Prime factors of 2475 are 3, 5, 11. Prime factorization of 2475 in exponential form is:

2475 = 3² × 5² × 11¹

Step-2: Prime Factorization of 2486

Prime factors of 2486 are 2, 11, 113. Prime factorization of 2486 in exponential form is:

2486 = 2¹ × 11¹ × 113¹

Step-3: Factors of 2475

List of positive integer factors of 2475 that divides 2475 without a remainder.

1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825

Step-4: Factors of 2486

List of positive integer factors of 2486 that divides 2475 without a remainder.

1, 2, 11, 22, 113, 226, 1243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2475 and 2486. The biggest common factor number is the GCF number.
So the greatest common factor 2475 and 2486 is 11.

Also check out the Least Common Multiple of 2475 and 2486