What is the Greatest Common Factor of 2475 and 2479?

Greatest common factor (GCF) of 2475 and 2479 is 1.

GCF(2475,2479) = 1

We will now calculate the prime factors of 2475 and 2479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2475 and 2479.

How to find the GCF of 2475 and 2479?

We will first find the prime factorization of 2475 and 2479. After we will calculate the factors of 2475 and 2479 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 2479

Prime factors of 2479 are 37, 67. Prime factorization of 2479 in exponential form is:

2479 = 37¹ × 67¹

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 2479

List of positive integer factors of 2479 that divides 2475 without a remainder.

1, 37, 67

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2475 and 2479. The biggest common factor number is the GCF number.
So the greatest common factor 2475 and 2479 is 1.

Also check out the Least Common Multiple of 2475 and 2479