What is the Greatest Common Factor of 72989 and 72996?

Greatest common factor (GCF) of 72989 and 72996 is 7.

GCF(72989,72996) = 7

We will now calculate the prime factors of 72989 and 72996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72989 and 72996.

How to find the GCF of 72989 and 72996?

We will first find the prime factorization of 72989 and 72996. After we will calculate the factors of 72989 and 72996 and find the biggest common factor number .

Step-1: Prime Factorization of 72989

Prime factors of 72989 are 7, 10427. Prime factorization of 72989 in exponential form is:

72989 = 7¹ × 10427¹

Step-2: 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-3: Factors of 72989

List of positive integer factors of 72989 that divides 72989 without a remainder.

1, 7, 10427

Step-4: Factors of 72996

List of positive integer factors of 72996 that divides 72989 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72989 and 72996. The biggest common factor number is the GCF number.
So the greatest common factor 72989 and 72996 is 7.

Also check out the Least Common Multiple of 72989 and 72996