What is the Greatest Common Factor of 72972 and 72989?

Greatest common factor (GCF) of 72972 and 72989 is 1.

GCF(72972,72989) = 1

We will now calculate the prime factors of 72972 and 72989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72972 and 72989.

How to find the GCF of 72972 and 72989?

We will first find the prime factorization of 72972 and 72989. After we will calculate the factors of 72972 and 72989 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 72989

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

72989 = 7¹ × 10427¹

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 72989

List of positive integer factors of 72989 that divides 72972 without a remainder.

1, 7, 10427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72972 and 72989. The biggest common factor number is the GCF number.
So the greatest common factor 72972 and 72989 is 1.

Also check out the Least Common Multiple of 72972 and 72989