What is the Greatest Common Factor of 73360 and 73368?

Greatest common factor (GCF) of 73360 and 73368 is 8.

GCF(73360,73368) = 8

We will now calculate the prime factors of 73360 and 73368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73360 and 73368.

How to find the GCF of 73360 and 73368?

We will first find the prime factorization of 73360 and 73368. After we will calculate the factors of 73360 and 73368 and find the biggest common factor number .

Step-1: Prime Factorization of 73360

Prime factors of 73360 are 2, 5, 7, 131. Prime factorization of 73360 in exponential form is:

73360 = 2⁴ × 5¹ × 7¹ × 131¹

Step-2: 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-3: Factors of 73360

List of positive integer factors of 73360 that divides 73360 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 131, 140, 262, 280, 524, 560, 655, 917, 1048, 1310, 1834, 2096, 2620, 3668, 4585, 5240, 7336, 9170, 10480, 14672, 18340, 36680

Step-4: Factors of 73368

List of positive integer factors of 73368 that divides 73360 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73360 and 73368. The biggest common factor number is the GCF number.
So the greatest common factor 73360 and 73368 is 8.

Also check out the Least Common Multiple of 73360 and 73368