What is the Greatest Common Factor of 72972 and 72984?

Greatest common factor (GCF) of 72972 and 72984 is 12.

GCF(72972,72984) = 12

We will now calculate the prime factors of 72972 and 72984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72972 and 72984.

How to find the GCF of 72972 and 72984?

We will first find the prime factorization of 72972 and 72984. After we will calculate the factors of 72972 and 72984 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 72984

Prime factors of 72984 are 2, 3, 3041. Prime factorization of 72984 in exponential form is:

72984 = 2³ × 3¹ × 3041¹

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 72984

List of positive integer factors of 72984 that divides 72972 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3041, 6082, 9123, 12164, 18246, 24328, 36492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72972 and 72984. The biggest common factor number is the GCF number.
So the greatest common factor 72972 and 72984 is 12.

Also check out the Least Common Multiple of 72972 and 72984