What is the Greatest Common Factor of 72504 and 72523?

Greatest common factor (GCF) of 72504 and 72523 is 19.

GCF(72504,72523) = 19

We will now calculate the prime factors of 72504 and 72523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72504 and 72523.

How to find the GCF of 72504 and 72523?

We will first find the prime factorization of 72504 and 72523. After we will calculate the factors of 72504 and 72523 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 72523

Prime factors of 72523 are 11, 19, 347. Prime factorization of 72523 in exponential form is:

72523 = 11¹ × 19¹ × 347¹

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 72523

List of positive integer factors of 72523 that divides 72504 without a remainder.

1, 11, 19, 209, 347, 3817, 6593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72504 and 72523. The biggest common factor number is the GCF number.
So the greatest common factor 72504 and 72523 is 19.

Also check out the Least Common Multiple of 72504 and 72523