What is the Greatest Common Factor of 73707 and 73716?

Greatest common factor (GCF) of 73707 and 73716 is 3.

GCF(73707,73716) = 3

We will now calculate the prime factors of 73707 and 73716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73707 and 73716.

How to find the GCF of 73707 and 73716?

We will first find the prime factorization of 73707 and 73716. After we will calculate the factors of 73707 and 73716 and find the biggest common factor number .

Step-1: Prime Factorization of 73707

Prime factors of 73707 are 3, 79, 311. Prime factorization of 73707 in exponential form is:

73707 = 3¹ × 79¹ × 311¹

Step-2: Prime Factorization of 73716

Prime factors of 73716 are 2, 3, 6143. Prime factorization of 73716 in exponential form is:

73716 = 2² × 3¹ × 6143¹

Step-3: Factors of 73707

List of positive integer factors of 73707 that divides 73707 without a remainder.

1, 3, 79, 237, 311, 933, 24569

Step-4: Factors of 73716

List of positive integer factors of 73716 that divides 73707 without a remainder.

1, 2, 3, 4, 6, 12, 6143, 12286, 18429, 24572, 36858

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73707 and 73716. The biggest common factor number is the GCF number.
So the greatest common factor 73707 and 73716 is 3.

Also check out the Least Common Multiple of 73707 and 73716