What is the Greatest Common Factor of 72987 and 72993?

Greatest common factor (GCF) of 72987 and 72993 is 3.

GCF(72987,72993) = 3

We will now calculate the prime factors of 72987 and 72993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72987 and 72993.

How to find the GCF of 72987 and 72993?

We will first find the prime factorization of 72987 and 72993. After we will calculate the factors of 72987 and 72993 and find the biggest common factor number .

Step-1: Prime Factorization of 72987

Prime factors of 72987 are 3, 24329. Prime factorization of 72987 in exponential form is:

72987 = 3¹ × 24329¹

Step-2: Prime Factorization of 72993

Prime factors of 72993 are 3, 29, 839. Prime factorization of 72993 in exponential form is:

72993 = 3¹ × 29¹ × 839¹

Step-3: Factors of 72987

List of positive integer factors of 72987 that divides 72987 without a remainder.

1, 3, 24329

Step-4: Factors of 72993

List of positive integer factors of 72993 that divides 72987 without a remainder.

1, 3, 29, 87, 839, 2517, 24331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72987 and 72993. The biggest common factor number is the GCF number.
So the greatest common factor 72987 and 72993 is 3.

Also check out the Least Common Multiple of 72987 and 72993