What is the Greatest Common Factor of 72996 and 73012?

Greatest common factor (GCF) of 72996 and 73012 is 4.

GCF(72996,73012) = 4

We will now calculate the prime factors of 72996 and 73012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72996 and 73012.

How to find the GCF of 72996 and 73012?

We will first find the prime factorization of 72996 and 73012. After we will calculate the factors of 72996 and 73012 and find the biggest common factor number .

Step-1: Prime Factorization of 72996

Prime factors of 72996 are 2, 3, 7, 11, 79. Prime factorization of 72996 in exponential form is:

72996 = 2² × 3¹ × 7¹ × 11¹ × 79¹

Step-2: Prime Factorization of 73012

Prime factors of 73012 are 2, 18253. Prime factorization of 73012 in exponential form is:

73012 = 2² × 18253¹

Step-3: Factors of 72996

List of positive integer factors of 72996 that divides 72996 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 79, 84, 132, 154, 158, 231, 237, 308, 316, 462, 474, 553, 869, 924, 948, 1106, 1659, 1738, 2212, 2607, 3318, 3476, 5214, 6083, 6636, 10428, 12166, 18249, 24332, 36498

Step-4: Factors of 73012

List of positive integer factors of 73012 that divides 72996 without a remainder.

1, 2, 4, 18253, 36506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72996 and 73012. The biggest common factor number is the GCF number.
So the greatest common factor 72996 and 73012 is 4.

Also check out the Least Common Multiple of 72996 and 73012