What is the Greatest Common Factor of 72496 and 72504?

Greatest common factor (GCF) of 72496 and 72504 is 8.

GCF(72496,72504) = 8

We will now calculate the prime factors of 72496 and 72504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72496 and 72504.

How to find the GCF of 72496 and 72504?

We will first find the prime factorization of 72496 and 72504. After we will calculate the factors of 72496 and 72504 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 72504

Prime factors of 72504 are 2, 3, 19, 53. Prime factorization of 72504 in exponential form is:

72504 = 2³ × 3² × 19¹ × 53¹

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 72504

List of positive integer factors of 72504 that divides 72496 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 53, 57, 72, 76, 106, 114, 152, 159, 171, 212, 228, 318, 342, 424, 456, 477, 636, 684, 954, 1007, 1272, 1368, 1908, 2014, 3021, 3816, 4028, 6042, 8056, 9063, 12084, 18126, 24168, 36252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72496 and 72504. The biggest common factor number is the GCF number.
So the greatest common factor 72496 and 72504 is 8.

Also check out the Least Common Multiple of 72496 and 72504