What is the Greatest Common Factor of 7605 and 7614?

Greatest common factor (GCF) of 7605 and 7614 is 9.

GCF(7605,7614) = 9

We will now calculate the prime factors of 7605 and 7614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7605 and 7614.

How to find the GCF of 7605 and 7614?

We will first find the prime factorization of 7605 and 7614. After we will calculate the factors of 7605 and 7614 and find the biggest common factor number .

Step-1: Prime Factorization of 7605

Prime factors of 7605 are 3, 5, 13. Prime factorization of 7605 in exponential form is:

7605 = 3² × 5¹ × 13²

Step-2: 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-3: Factors of 7605

List of positive integer factors of 7605 that divides 7605 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 169, 195, 507, 585, 845, 1521, 2535

Step-4: Factors of 7614

List of positive integer factors of 7614 that divides 7605 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7605 and 7614. The biggest common factor number is the GCF number.
So the greatest common factor 7605 and 7614 is 9.

Also check out the Least Common Multiple of 7605 and 7614