What is the Greatest Common Factor of 9630 and 9645?

Greatest common factor (GCF) of 9630 and 9645 is 15.

GCF(9630,9645) = 15

We will now calculate the prime factors of 9630 and 9645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9630 and 9645.

How to find the GCF of 9630 and 9645?

We will first find the prime factorization of 9630 and 9645. After we will calculate the factors of 9630 and 9645 and find the biggest common factor number .

Step-1: Prime Factorization of 9630

Prime factors of 9630 are 2, 3, 5, 107. Prime factorization of 9630 in exponential form is:

9630 = 2¹ × 3² × 5¹ × 107¹

Step-2: Prime Factorization of 9645

Prime factors of 9645 are 3, 5, 643. Prime factorization of 9645 in exponential form is:

9645 = 3¹ × 5¹ × 643¹

Step-3: Factors of 9630

List of positive integer factors of 9630 that divides 9630 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 107, 214, 321, 535, 642, 963, 1070, 1605, 1926, 3210, 4815

Step-4: Factors of 9645

List of positive integer factors of 9645 that divides 9630 without a remainder.

1, 3, 5, 15, 643, 1929, 3215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9630 and 9645. The biggest common factor number is the GCF number.
So the greatest common factor 9630 and 9645 is 15.

Also check out the Least Common Multiple of 9630 and 9645