What is the Greatest Common Factor of 72963 and 72972?

Greatest common factor (GCF) of 72963 and 72972 is 9.

GCF(72963,72972) = 9

We will now calculate the prime factors of 72963 and 72972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72963 and 72972.

How to find the GCF of 72963 and 72972?

We will first find the prime factorization of 72963 and 72972. After we will calculate the factors of 72963 and 72972 and find the biggest common factor number .

Step-1: Prime Factorization of 72963

Prime factors of 72963 are 3, 11, 67. Prime factorization of 72963 in exponential form is:

72963 = 3² × 11² × 67¹

Step-2: Prime Factorization of 72972

Prime factors of 72972 are 2, 3, 2027. Prime factorization of 72972 in exponential form is:

72972 = 2² × 3² × 2027¹

Step-3: Factors of 72963

List of positive integer factors of 72963 that divides 72963 without a remainder.

1, 3, 9, 11, 33, 67, 99, 121, 201, 363, 603, 737, 1089, 2211, 6633, 8107, 24321

Step-4: Factors of 72972

List of positive integer factors of 72972 that divides 72963 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2027, 4054, 6081, 8108, 12162, 18243, 24324, 36486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72963 and 72972. The biggest common factor number is the GCF number.
So the greatest common factor 72963 and 72972 is 9.

Also check out the Least Common Multiple of 72963 and 72972