What is the Greatest Common Factor of 73360 and 73376?

Greatest common factor (GCF) of 73360 and 73376 is 16.

GCF(73360,73376) = 16

We will now calculate the prime factors of 73360 and 73376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73360 and 73376.

How to find the GCF of 73360 and 73376?

We will first find the prime factorization of 73360 and 73376. After we will calculate the factors of 73360 and 73376 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 73376

Prime factors of 73376 are 2, 2293. Prime factorization of 73376 in exponential form is:

73376 = 2⁵ × 2293¹

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 73376

List of positive integer factors of 73376 that divides 73360 without a remainder.

1, 2, 4, 8, 16, 32, 2293, 4586, 9172, 18344, 36688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73360 and 73376. The biggest common factor number is the GCF number.
So the greatest common factor 73360 and 73376 is 16.

Also check out the Least Common Multiple of 73360 and 73376