What is the Greatest Common Factor of 72996 and 73014?

Greatest common factor (GCF) of 72996 and 73014 is 6.

GCF(72996,73014) = 6

We will now calculate the prime factors of 72996 and 73014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72996 and 73014.

How to find the GCF of 72996 and 73014?

We will first find the prime factorization of 72996 and 73014. After we will calculate the factors of 72996 and 73014 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 73014

Prime factors of 73014 are 2, 3, 43, 283. Prime factorization of 73014 in exponential form is:

73014 = 2¹ × 3¹ × 43¹ × 283¹

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 73014

List of positive integer factors of 73014 that divides 72996 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258, 283, 566, 849, 1698, 12169, 24338, 36507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72996 and 73014. The biggest common factor number is the GCF number.
So the greatest common factor 72996 and 73014 is 6.

Also check out the Least Common Multiple of 72996 and 73014