What is the Greatest Common Factor of 73644 and 73659?

Greatest common factor (GCF) of 73644 and 73659 is 3.

GCF(73644,73659) = 3

We will now calculate the prime factors of 73644 and 73659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73644 and 73659.

How to find the GCF of 73644 and 73659?

We will first find the prime factorization of 73644 and 73659. After we will calculate the factors of 73644 and 73659 and find the biggest common factor number .

Step-1: Prime Factorization of 73644

Prime factors of 73644 are 2, 3, 17, 19. Prime factorization of 73644 in exponential form is:

73644 = 2² × 3¹ × 17¹ × 19²

Step-2: Prime Factorization of 73659

Prime factors of 73659 are 3, 43, 571. Prime factorization of 73659 in exponential form is:

73659 = 3¹ × 43¹ × 571¹

Step-3: Factors of 73644

List of positive integer factors of 73644 that divides 73644 without a remainder.

1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 361, 646, 722, 969, 1083, 1292, 1444, 1938, 2166, 3876, 4332, 6137, 12274, 18411, 24548, 36822

Step-4: Factors of 73659

List of positive integer factors of 73659 that divides 73644 without a remainder.

1, 3, 43, 129, 571, 1713, 24553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73644 and 73659. The biggest common factor number is the GCF number.
So the greatest common factor 73644 and 73659 is 3.

Also check out the Least Common Multiple of 73644 and 73659