What is the Greatest Common Factor of 72504 and 72509?

Greatest common factor (GCF) of 72504 and 72509 is 1.

GCF(72504,72509) = 1

We will now calculate the prime factors of 72504 and 72509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72504 and 72509.

How to find the GCF of 72504 and 72509?

We will first find the prime factorization of 72504 and 72509. After we will calculate the factors of 72504 and 72509 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 72509

Prime factors of 72509 are 31, 2339. Prime factorization of 72509 in exponential form is:

72509 = 31¹ × 2339¹

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 72509

List of positive integer factors of 72509 that divides 72504 without a remainder.

1, 31, 2339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72504 and 72509. The biggest common factor number is the GCF number.
So the greatest common factor 72504 and 72509 is 1.

Also check out the Least Common Multiple of 72504 and 72509