What is the Greatest Common Factor of 2413 and 2432?

Greatest common factor (GCF) of 2413 and 2432 is 19.

GCF(2413,2432) = 19

We will now calculate the prime factors of 2413 and 2432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2413 and 2432.

How to find the GCF of 2413 and 2432?

We will first find the prime factorization of 2413 and 2432. After we will calculate the factors of 2413 and 2432 and find the biggest common factor number .

Step-1: Prime Factorization of 2413

Prime factors of 2413 are 19, 127. Prime factorization of 2413 in exponential form is:

2413 = 19¹ × 127¹

Step-2: Prime Factorization of 2432

Prime factors of 2432 are 2, 19. Prime factorization of 2432 in exponential form is:

2432 = 2⁷ × 19¹

Step-3: Factors of 2413

List of positive integer factors of 2413 that divides 2413 without a remainder.

1, 19, 127

Step-4: Factors of 2432

List of positive integer factors of 2432 that divides 2413 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 304, 608, 1216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2413 and 2432. The biggest common factor number is the GCF number.
So the greatest common factor 2413 and 2432 is 19.

Also check out the Least Common Multiple of 2413 and 2432