What is the Greatest Common Factor of 9510 and 9519?

Greatest common factor (GCF) of 9510 and 9519 is 3.

GCF(9510,9519) = 3

We will now calculate the prime factors of 9510 and 9519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9510 and 9519.

How to find the GCF of 9510 and 9519?

We will first find the prime factorization of 9510 and 9519. After we will calculate the factors of 9510 and 9519 and find the biggest common factor number .

Step-1: Prime Factorization of 9510

Prime factors of 9510 are 2, 3, 5, 317. Prime factorization of 9510 in exponential form is:

9510 = 2¹ × 3¹ × 5¹ × 317¹

Step-2: Prime Factorization of 9519

Prime factors of 9519 are 3, 19, 167. Prime factorization of 9519 in exponential form is:

9519 = 3¹ × 19¹ × 167¹

Step-3: Factors of 9510

List of positive integer factors of 9510 that divides 9510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 317, 634, 951, 1585, 1902, 3170, 4755

Step-4: Factors of 9519

List of positive integer factors of 9519 that divides 9510 without a remainder.

1, 3, 19, 57, 167, 501, 3173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9510 and 9519. The biggest common factor number is the GCF number.
So the greatest common factor 9510 and 9519 is 3.

Also check out the Least Common Multiple of 9510 and 9519