What is the Greatest Common Factor of 74613 and 74620?

Greatest common factor (GCF) of 74613 and 74620 is 7.

GCF(74613,74620) = 7

We will now calculate the prime factors of 74613 and 74620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74613 and 74620.

How to find the GCF of 74613 and 74620?

We will first find the prime factorization of 74613 and 74620. After we will calculate the factors of 74613 and 74620 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 74620

Prime factors of 74620 are 2, 5, 7, 13, 41. Prime factorization of 74620 in exponential form is:

74620 = 2² × 5¹ × 7¹ × 13¹ × 41¹

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 74620

List of positive integer factors of 74620 that divides 74613 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 41, 52, 65, 70, 82, 91, 130, 140, 164, 182, 205, 260, 287, 364, 410, 455, 533, 574, 820, 910, 1066, 1148, 1435, 1820, 2132, 2665, 2870, 3731, 5330, 5740, 7462, 10660, 14924, 18655, 37310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74613 and 74620. The biggest common factor number is the GCF number.
So the greatest common factor 74613 and 74620 is 7.

Also check out the Least Common Multiple of 74613 and 74620