What is the Greatest Common Factor of 74649 and 74664?

Greatest common factor (GCF) of 74649 and 74664 is 3.

GCF(74649,74664) = 3

We will now calculate the prime factors of 74649 and 74664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74649 and 74664.

How to find the GCF of 74649 and 74664?

We will first find the prime factorization of 74649 and 74664. After we will calculate the factors of 74649 and 74664 and find the biggest common factor number .

Step-1: Prime Factorization of 74649

Prime factors of 74649 are 3, 149, 167. Prime factorization of 74649 in exponential form is:

74649 = 3¹ × 149¹ × 167¹

Step-2: Prime Factorization of 74664

Prime factors of 74664 are 2, 3, 17, 61. Prime factorization of 74664 in exponential form is:

74664 = 2³ × 3² × 17¹ × 61¹

Step-3: Factors of 74649

List of positive integer factors of 74649 that divides 74649 without a remainder.

1, 3, 149, 167, 447, 501, 24883

Step-4: Factors of 74664

List of positive integer factors of 74664 that divides 74649 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 61, 68, 72, 102, 122, 136, 153, 183, 204, 244, 306, 366, 408, 488, 549, 612, 732, 1037, 1098, 1224, 1464, 2074, 2196, 3111, 4148, 4392, 6222, 8296, 9333, 12444, 18666, 24888, 37332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74649 and 74664. The biggest common factor number is the GCF number.
So the greatest common factor 74649 and 74664 is 3.

Also check out the Least Common Multiple of 74649 and 74664