What is the Greatest Common Factor of 73977 and 73992?

Greatest common factor (GCF) of 73977 and 73992 is 3.

GCF(73977,73992) = 3

We will now calculate the prime factors of 73977 and 73992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73977 and 73992.

How to find the GCF of 73977 and 73992?

We will first find the prime factorization of 73977 and 73992. After we will calculate the factors of 73977 and 73992 and find the biggest common factor number .

Step-1: Prime Factorization of 73977

Prime factors of 73977 are 3, 24659. Prime factorization of 73977 in exponential form is:

73977 = 3¹ × 24659¹

Step-2: Prime Factorization of 73992

Prime factors of 73992 are 2, 3, 3083. Prime factorization of 73992 in exponential form is:

73992 = 2³ × 3¹ × 3083¹

Step-3: Factors of 73977

List of positive integer factors of 73977 that divides 73977 without a remainder.

1, 3, 24659

Step-4: Factors of 73992

List of positive integer factors of 73992 that divides 73977 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3083, 6166, 9249, 12332, 18498, 24664, 36996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73977 and 73992. The biggest common factor number is the GCF number.
So the greatest common factor 73977 and 73992 is 3.

Also check out the Least Common Multiple of 73977 and 73992