What is the Greatest Common Factor of 9495 and 9507?

Greatest common factor (GCF) of 9495 and 9507 is 3.

GCF(9495,9507) = 3

We will now calculate the prime factors of 9495 and 9507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9495 and 9507.

How to find the GCF of 9495 and 9507?

We will first find the prime factorization of 9495 and 9507. After we will calculate the factors of 9495 and 9507 and find the biggest common factor number .

Step-1: Prime Factorization of 9495

Prime factors of 9495 are 3, 5, 211. Prime factorization of 9495 in exponential form is:

9495 = 3² × 5¹ × 211¹

Step-2: Prime Factorization of 9507

Prime factors of 9507 are 3, 3169. Prime factorization of 9507 in exponential form is:

9507 = 3¹ × 3169¹

Step-3: Factors of 9495

List of positive integer factors of 9495 that divides 9495 without a remainder.

1, 3, 5, 9, 15, 45, 211, 633, 1055, 1899, 3165

Step-4: Factors of 9507

List of positive integer factors of 9507 that divides 9495 without a remainder.

1, 3, 3169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9495 and 9507. The biggest common factor number is the GCF number.
So the greatest common factor 9495 and 9507 is 3.

Also check out the Least Common Multiple of 9495 and 9507