What is the Greatest Common Factor of 72504 and 72519?

Greatest common factor (GCF) of 72504 and 72519 is 3.

GCF(72504,72519) = 3

We will now calculate the prime factors of 72504 and 72519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72504 and 72519.

How to find the GCF of 72504 and 72519?

We will first find the prime factorization of 72504 and 72519. After we will calculate the factors of 72504 and 72519 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 72519

Prime factors of 72519 are 3, 23, 1051. Prime factorization of 72519 in exponential form is:

72519 = 3¹ × 23¹ × 1051¹

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 72519

List of positive integer factors of 72519 that divides 72504 without a remainder.

1, 3, 23, 69, 1051, 3153, 24173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72504 and 72519. The biggest common factor number is the GCF number.
So the greatest common factor 72504 and 72519 is 3.

Also check out the Least Common Multiple of 72504 and 72519