What is the Greatest Common Factor of 72496 and 72512?

Greatest common factor (GCF) of 72496 and 72512 is 16.

GCF(72496,72512) = 16

We will now calculate the prime factors of 72496 and 72512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72496 and 72512.

How to find the GCF of 72496 and 72512?

We will first find the prime factorization of 72496 and 72512. After we will calculate the factors of 72496 and 72512 and find the biggest common factor number .

Step-1: Prime Factorization of 72496

Prime factors of 72496 are 2, 23, 197. Prime factorization of 72496 in exponential form is:

72496 = 2⁴ × 23¹ × 197¹

Step-2: Prime Factorization of 72512

Prime factors of 72512 are 2, 11, 103. Prime factorization of 72512 in exponential form is:

72512 = 2⁶ × 11¹ × 103¹

Step-3: Factors of 72496

List of positive integer factors of 72496 that divides 72496 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 197, 368, 394, 788, 1576, 3152, 4531, 9062, 18124, 36248

Step-4: Factors of 72512

List of positive integer factors of 72512 that divides 72496 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 103, 176, 206, 352, 412, 704, 824, 1133, 1648, 2266, 3296, 4532, 6592, 9064, 18128, 36256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72496 and 72512. The biggest common factor number is the GCF number.
So the greatest common factor 72496 and 72512 is 16.

Also check out the Least Common Multiple of 72496 and 72512