What is the Greatest Common Factor of 2451 and 2469?

Greatest common factor (GCF) of 2451 and 2469 is 3.

GCF(2451,2469) = 3

We will now calculate the prime factors of 2451 and 2469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2451 and 2469.

How to find the GCF of 2451 and 2469?

We will first find the prime factorization of 2451 and 2469. After we will calculate the factors of 2451 and 2469 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 2469

Prime factors of 2469 are 3, 823. Prime factorization of 2469 in exponential form is:

2469 = 3¹ × 823¹

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 2469

List of positive integer factors of 2469 that divides 2451 without a remainder.

1, 3, 823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2451 and 2469. The biggest common factor number is the GCF number.
So the greatest common factor 2451 and 2469 is 3.

Also check out the Least Common Multiple of 2451 and 2469