What is the Greatest Common Factor of 72416 and 72432?

Greatest common factor (GCF) of 72416 and 72432 is 16.

GCF(72416,72432) = 16

We will now calculate the prime factors of 72416 and 72432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72416 and 72432.

How to find the GCF of 72416 and 72432?

We will first find the prime factorization of 72416 and 72432. After we will calculate the factors of 72416 and 72432 and find the biggest common factor number .

Step-1: Prime Factorization of 72416

Prime factors of 72416 are 2, 31, 73. Prime factorization of 72416 in exponential form is:

72416 = 2⁵ × 31¹ × 73¹

Step-2: Prime Factorization of 72432

Prime factors of 72432 are 2, 3, 503. Prime factorization of 72432 in exponential form is:

72432 = 2⁴ × 3² × 503¹

Step-3: Factors of 72416

List of positive integer factors of 72416 that divides 72416 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 73, 124, 146, 248, 292, 496, 584, 992, 1168, 2263, 2336, 4526, 9052, 18104, 36208

Step-4: Factors of 72432

List of positive integer factors of 72432 that divides 72416 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 503, 1006, 1509, 2012, 3018, 4024, 4527, 6036, 8048, 9054, 12072, 18108, 24144, 36216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72416 and 72432. The biggest common factor number is the GCF number.
So the greatest common factor 72416 and 72432 is 16.

Also check out the Least Common Multiple of 72416 and 72432