What is the Greatest Common Factor of 74613 and 74619?

Greatest common factor (GCF) of 74613 and 74619 is 3.

GCF(74613,74619) = 3

We will now calculate the prime factors of 74613 and 74619, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74613 and 74619.

How to find the GCF of 74613 and 74619?

We will first find the prime factorization of 74613 and 74619. After we will calculate the factors of 74613 and 74619 and find the biggest common factor number .

Step-1: Prime Factorization of 74613

Prime factors of 74613 are 3, 7, 11, 17, 19. Prime factorization of 74613 in exponential form is:

74613 = 3¹ × 7¹ × 11¹ × 17¹ × 19¹

Step-2: Prime Factorization of 74619

Prime factors of 74619 are 3, 8291. Prime factorization of 74619 in exponential form is:

74619 = 3² × 8291¹

Step-3: Factors of 74613

List of positive integer factors of 74613 that divides 74613 without a remainder.

1, 3, 7, 11, 17, 19, 21, 33, 51, 57, 77, 119, 133, 187, 209, 231, 323, 357, 399, 561, 627, 969, 1309, 1463, 2261, 3553, 3927, 4389, 6783, 10659, 24871

Step-4: Factors of 74619

List of positive integer factors of 74619 that divides 74613 without a remainder.

1, 3, 9, 8291, 24873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74613 and 74619. The biggest common factor number is the GCF number.
So the greatest common factor 74613 and 74619 is 3.

Also check out the Least Common Multiple of 74613 and 74619