What is the Greatest Common Factor of 2465 and 2476?

Greatest common factor (GCF) of 2465 and 2476 is 1.

GCF(2465,2476) = 1

We will now calculate the prime factors of 2465 and 2476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2465 and 2476.

How to find the GCF of 2465 and 2476?

We will first find the prime factorization of 2465 and 2476. After we will calculate the factors of 2465 and 2476 and find the biggest common factor number .

Step-1: Prime Factorization of 2465

Prime factors of 2465 are 5, 17, 29. Prime factorization of 2465 in exponential form is:

2465 = 5¹ × 17¹ × 29¹

Step-2: Prime Factorization of 2476

Prime factors of 2476 are 2, 619. Prime factorization of 2476 in exponential form is:

2476 = 2² × 619¹

Step-3: Factors of 2465

List of positive integer factors of 2465 that divides 2465 without a remainder.

1, 5, 17, 29, 85, 145, 493

Step-4: Factors of 2476

List of positive integer factors of 2476 that divides 2465 without a remainder.

1, 2, 4, 619, 1238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2465 and 2476. The biggest common factor number is the GCF number.
So the greatest common factor 2465 and 2476 is 1.

Also check out the Least Common Multiple of 2465 and 2476