What is the Greatest Common Factor of 72972 and 72990?

Greatest common factor (GCF) of 72972 and 72990 is 18.

GCF(72972,72990) = 18

We will now calculate the prime factors of 72972 and 72990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72972 and 72990.

How to find the GCF of 72972 and 72990?

We will first find the prime factorization of 72972 and 72990. After we will calculate the factors of 72972 and 72990 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72990

Prime factors of 72990 are 2, 3, 5, 811. Prime factorization of 72990 in exponential form is:

72990 = 2¹ × 3² × 5¹ × 811¹

Step-3: Factors of 72972

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

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

Step-4: Factors of 72990

List of positive integer factors of 72990 that divides 72972 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 811, 1622, 2433, 4055, 4866, 7299, 8110, 12165, 14598, 24330, 36495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72972 and 72990. The biggest common factor number is the GCF number.
So the greatest common factor 72972 and 72990 is 18.

Also check out the Least Common Multiple of 72972 and 72990