What is the Greatest Common Factor of 72504 and 72508?

Greatest common factor (GCF) of 72504 and 72508 is 4.

GCF(72504,72508) = 4

We will now calculate the prime factors of 72504 and 72508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72504 and 72508.

How to find the GCF of 72504 and 72508?

We will first find the prime factorization of 72504 and 72508. After we will calculate the factors of 72504 and 72508 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72508

Prime factors of 72508 are 2, 18127. Prime factorization of 72508 in exponential form is:

72508 = 2² × 18127¹

Step-3: Factors of 72504

List of positive integer factors of 72504 that divides 72504 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

Step-4: Factors of 72508

List of positive integer factors of 72508 that divides 72504 without a remainder.

1, 2, 4, 18127, 36254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72504 and 72508. The biggest common factor number is the GCF number.
So the greatest common factor 72504 and 72508 is 4.

Also check out the Least Common Multiple of 72504 and 72508