What is the Greatest Common Factor of 73368 and 73374?

Greatest common factor (GCF) of 73368 and 73374 is 6.

GCF(73368,73374) = 6

We will now calculate the prime factors of 73368 and 73374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73368 and 73374.

How to find the GCF of 73368 and 73374?

We will first find the prime factorization of 73368 and 73374. After we will calculate the factors of 73368 and 73374 and find the biggest common factor number .

Step-1: Prime Factorization of 73368

Prime factors of 73368 are 2, 3, 1019. Prime factorization of 73368 in exponential form is:

73368 = 2³ × 3² × 1019¹

Step-2: Prime Factorization of 73374

Prime factors of 73374 are 2, 3, 7, 1747. Prime factorization of 73374 in exponential form is:

73374 = 2¹ × 3¹ × 7¹ × 1747¹

Step-3: Factors of 73368

List of positive integer factors of 73368 that divides 73368 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1019, 2038, 3057, 4076, 6114, 8152, 9171, 12228, 18342, 24456, 36684

Step-4: Factors of 73374

List of positive integer factors of 73374 that divides 73368 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1747, 3494, 5241, 10482, 12229, 24458, 36687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73368 and 73374. The biggest common factor number is the GCF number.
So the greatest common factor 73368 and 73374 is 6.

Also check out the Least Common Multiple of 73368 and 73374