What is the Greatest Common Factor of 73344 and 73360?

Greatest common factor (GCF) of 73344 and 73360 is 16.

GCF(73344,73360) = 16

We will now calculate the prime factors of 73344 and 73360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73344 and 73360.

How to find the GCF of 73344 and 73360?

We will first find the prime factorization of 73344 and 73360. After we will calculate the factors of 73344 and 73360 and find the biggest common factor number .

Step-1: Prime Factorization of 73344

Prime factors of 73344 are 2, 3, 191. Prime factorization of 73344 in exponential form is:

73344 = 2⁷ × 3¹ × 191¹

Step-2: 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-3: Factors of 73344

List of positive integer factors of 73344 that divides 73344 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 191, 192, 382, 384, 573, 764, 1146, 1528, 2292, 3056, 4584, 6112, 9168, 12224, 18336, 24448, 36672

Step-4: Factors of 73360

List of positive integer factors of 73360 that divides 73344 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73344 and 73360. The biggest common factor number is the GCF number.
So the greatest common factor 73344 and 73360 is 16.

Also check out the Least Common Multiple of 73344 and 73360