What is the Greatest Common Factor of 73590 and 73608?

Greatest common factor (GCF) of 73590 and 73608 is 6.

GCF(73590,73608) = 6

We will now calculate the prime factors of 73590 and 73608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73590 and 73608.

How to find the GCF of 73590 and 73608?

We will first find the prime factorization of 73590 and 73608. After we will calculate the factors of 73590 and 73608 and find the biggest common factor number .

Step-1: Prime Factorization of 73590

Prime factors of 73590 are 2, 3, 5, 11, 223. Prime factorization of 73590 in exponential form is:

73590 = 2¹ × 3¹ × 5¹ × 11¹ × 223¹

Step-2: Prime Factorization of 73608

Prime factors of 73608 are 2, 3, 3067. Prime factorization of 73608 in exponential form is:

73608 = 2³ × 3¹ × 3067¹

Step-3: Factors of 73590

List of positive integer factors of 73590 that divides 73590 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 223, 330, 446, 669, 1115, 1338, 2230, 2453, 3345, 4906, 6690, 7359, 12265, 14718, 24530, 36795

Step-4: Factors of 73608

List of positive integer factors of 73608 that divides 73590 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3067, 6134, 9201, 12268, 18402, 24536, 36804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73590 and 73608. The biggest common factor number is the GCF number.
So the greatest common factor 73590 and 73608 is 6.

Also check out the Least Common Multiple of 73590 and 73608