What is the Greatest Common Factor of 72995 and 73008?

Greatest common factor (GCF) of 72995 and 73008 is 13.

GCF(72995,73008) = 13

We will now calculate the prime factors of 72995 and 73008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72995 and 73008.

How to find the GCF of 72995 and 73008?

We will first find the prime factorization of 72995 and 73008. After we will calculate the factors of 72995 and 73008 and find the biggest common factor number .

Step-1: Prime Factorization of 72995

Prime factors of 72995 are 5, 13, 1123. Prime factorization of 72995 in exponential form is:

72995 = 5¹ × 13¹ × 1123¹

Step-2: Prime Factorization of 73008

Prime factors of 73008 are 2, 3, 13. Prime factorization of 73008 in exponential form is:

73008 = 2⁴ × 3³ × 13²

Step-3: Factors of 72995

List of positive integer factors of 72995 that divides 72995 without a remainder.

1, 5, 13, 65, 1123, 5615, 14599

Step-4: Factors of 73008

List of positive integer factors of 73008 that divides 72995 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 36, 39, 48, 52, 54, 72, 78, 104, 108, 117, 144, 156, 169, 208, 216, 234, 312, 338, 351, 432, 468, 507, 624, 676, 702, 936, 1014, 1352, 1404, 1521, 1872, 2028, 2704, 2808, 3042, 4056, 4563, 5616, 6084, 8112, 9126, 12168, 18252, 24336, 36504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72995 and 73008. The biggest common factor number is the GCF number.
So the greatest common factor 72995 and 73008 is 13.

Also check out the Least Common Multiple of 72995 and 73008