What is the Greatest Common Factor of 74613 and 74629?

Greatest common factor (GCF) of 74613 and 74629 is 1.

GCF(74613,74629) = 1

We will now calculate the prime factors of 74613 and 74629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74613 and 74629.

How to find the GCF of 74613 and 74629?

We will first find the prime factorization of 74613 and 74629. After we will calculate the factors of 74613 and 74629 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 74629

Prime factors of 74629 are 37, 2017. Prime factorization of 74629 in exponential form is:

74629 = 37¹ × 2017¹

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 74629

List of positive integer factors of 74629 that divides 74613 without a remainder.

1, 37, 2017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74613 and 74629. The biggest common factor number is the GCF number.
So the greatest common factor 74613 and 74629 is 1.

Also check out the Least Common Multiple of 74613 and 74629