What is the Greatest Common Factor of 73614 and 73623?

Greatest common factor (GCF) of 73614 and 73623 is 3.

GCF(73614,73623) = 3

We will now calculate the prime factors of 73614 and 73623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73614 and 73623.

How to find the GCF of 73614 and 73623?

We will first find the prime factorization of 73614 and 73623. After we will calculate the factors of 73614 and 73623 and find the biggest common factor number .

Step-1: Prime Factorization of 73614

Prime factors of 73614 are 2, 3, 12269. Prime factorization of 73614 in exponential form is:

73614 = 2¹ × 3¹ × 12269¹

Step-2: Prime Factorization of 73623

Prime factors of 73623 are 3, 11, 23, 97. Prime factorization of 73623 in exponential form is:

73623 = 3¹ × 11¹ × 23¹ × 97¹

Step-3: Factors of 73614

List of positive integer factors of 73614 that divides 73614 without a remainder.

1, 2, 3, 6, 12269, 24538, 36807

Step-4: Factors of 73623

List of positive integer factors of 73623 that divides 73614 without a remainder.

1, 3, 11, 23, 33, 69, 97, 253, 291, 759, 1067, 2231, 3201, 6693, 24541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73614 and 73623. The biggest common factor number is the GCF number.
So the greatest common factor 73614 and 73623 is 3.

Also check out the Least Common Multiple of 73614 and 73623