What is the Greatest Common Factor of 78507 and 78519?

Greatest common factor (GCF) of 78507 and 78519 is 3.

GCF(78507,78519) = 3

We will now calculate the prime factors of 78507 and 78519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78507 and 78519.

How to find the GCF of 78507 and 78519?

We will first find the prime factorization of 78507 and 78519. After we will calculate the factors of 78507 and 78519 and find the biggest common factor number .

Step-1: Prime Factorization of 78507

Prime factors of 78507 are 3, 11, 13, 61. Prime factorization of 78507 in exponential form is:

78507 = 3² × 11¹ × 13¹ × 61¹

Step-2: Prime Factorization of 78519

Prime factors of 78519 are 3, 7, 3739. Prime factorization of 78519 in exponential form is:

78519 = 3¹ × 7¹ × 3739¹

Step-3: Factors of 78507

List of positive integer factors of 78507 that divides 78507 without a remainder.

1, 3, 9, 11, 13, 33, 39, 61, 99, 117, 143, 183, 429, 549, 671, 793, 1287, 2013, 2379, 6039, 7137, 8723, 26169

Step-4: Factors of 78519

List of positive integer factors of 78519 that divides 78507 without a remainder.

1, 3, 7, 21, 3739, 11217, 26173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78507 and 78519. The biggest common factor number is the GCF number.
So the greatest common factor 78507 and 78519 is 3.

Also check out the Least Common Multiple of 78507 and 78519