What is the Greatest Common Factor of 2465 and 2480?

Greatest common factor (GCF) of 2465 and 2480 is 5.

GCF(2465,2480) = 5

We will now calculate the prime factors of 2465 and 2480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2465 and 2480.

How to find the GCF of 2465 and 2480?

We will first find the prime factorization of 2465 and 2480. After we will calculate the factors of 2465 and 2480 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 2480

Prime factors of 2480 are 2, 5, 31. Prime factorization of 2480 in exponential form is:

2480 = 2⁴ × 5¹ × 31¹

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 2480

List of positive integer factors of 2480 that divides 2465 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 31, 40, 62, 80, 124, 155, 248, 310, 496, 620, 1240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2465 and 2480. The biggest common factor number is the GCF number.
So the greatest common factor 2465 and 2480 is 5.

Also check out the Least Common Multiple of 2465 and 2480