What is the Greatest Common Factor of 2451 and 2465?

Greatest common factor (GCF) of 2451 and 2465 is 1.

GCF(2451,2465) = 1

We will now calculate the prime factors of 2451 and 2465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2451 and 2465.

How to find the GCF of 2451 and 2465?

We will first find the prime factorization of 2451 and 2465. After we will calculate the factors of 2451 and 2465 and find the biggest common factor number .

Step-1: Prime Factorization of 2451

Prime factors of 2451 are 3, 19, 43. Prime factorization of 2451 in exponential form is:

2451 = 3¹ × 19¹ × 43¹

Step-2: 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-3: Factors of 2451

List of positive integer factors of 2451 that divides 2451 without a remainder.

1, 3, 19, 43, 57, 129, 817

Step-4: Factors of 2465

List of positive integer factors of 2465 that divides 2451 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2451 and 2465. The biggest common factor number is the GCF number.
So the greatest common factor 2451 and 2465 is 1.

Also check out the Least Common Multiple of 2451 and 2465