What is the Greatest Common Factor of 2451 and 2470?

Greatest common factor (GCF) of 2451 and 2470 is 19.

GCF(2451,2470) = 19

We will now calculate the prime factors of 2451 and 2470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2451 and 2470.

How to find the GCF of 2451 and 2470?

We will first find the prime factorization of 2451 and 2470. After we will calculate the factors of 2451 and 2470 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 2470

Prime factors of 2470 are 2, 5, 13, 19. Prime factorization of 2470 in exponential form is:

2470 = 2¹ × 5¹ × 13¹ × 19¹

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 2470

List of positive integer factors of 2470 that divides 2451 without a remainder.

1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2451 and 2470. The biggest common factor number is the GCF number.
So the greatest common factor 2451 and 2470 is 19.

Also check out the Least Common Multiple of 2451 and 2470