What is the Greatest Common Factor of 7614 and 7623?

Greatest common factor (GCF) of 7614 and 7623 is 9.

GCF(7614,7623) = 9

We will now calculate the prime factors of 7614 and 7623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7614 and 7623.

How to find the GCF of 7614 and 7623?

We will first find the prime factorization of 7614 and 7623. After we will calculate the factors of 7614 and 7623 and find the biggest common factor number .

Step-1: Prime Factorization of 7614

Prime factors of 7614 are 2, 3, 47. Prime factorization of 7614 in exponential form is:

7614 = 2¹ × 3⁴ × 47¹

Step-2: Prime Factorization of 7623

Prime factors of 7623 are 3, 7, 11. Prime factorization of 7623 in exponential form is:

7623 = 3² × 7¹ × 11²

Step-3: Factors of 7614

List of positive integer factors of 7614 that divides 7614 without a remainder.

1, 2, 3, 6, 9, 18, 27, 47, 54, 81, 94, 141, 162, 282, 423, 846, 1269, 2538, 3807

Step-4: Factors of 7623

List of positive integer factors of 7623 that divides 7614 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 121, 231, 363, 693, 847, 1089, 2541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7614 and 7623. The biggest common factor number is the GCF number.
So the greatest common factor 7614 and 7623 is 9.

Also check out the Least Common Multiple of 7614 and 7623