What is the Greatest Common Factor of 9514 and 9519?

Greatest common factor (GCF) of 9514 and 9519 is 1.

GCF(9514,9519) = 1

We will now calculate the prime factors of 9514 and 9519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9514 and 9519.

How to find the GCF of 9514 and 9519?

We will first find the prime factorization of 9514 and 9519. After we will calculate the factors of 9514 and 9519 and find the biggest common factor number .

Step-1: Prime Factorization of 9514

Prime factors of 9514 are 2, 67, 71. Prime factorization of 9514 in exponential form is:

9514 = 2¹ × 67¹ × 71¹

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 9514

List of positive integer factors of 9514 that divides 9514 without a remainder.

1, 2, 67, 71, 134, 142, 4757

Step-4: Factors of 9519

List of positive integer factors of 9519 that divides 9514 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9514 and 9519. The biggest common factor number is the GCF number.
So the greatest common factor 9514 and 9519 is 1.

Also check out the Least Common Multiple of 9514 and 9519