What is the Greatest Common Factor of 78507 and 78513?

Greatest common factor (GCF) of 78507 and 78513 is 3.

GCF(78507,78513) = 3

We will now calculate the prime factors of 78507 and 78513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78507 and 78513.

How to find the GCF of 78507 and 78513?

We will first find the prime factorization of 78507 and 78513. After we will calculate the factors of 78507 and 78513 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 78513

Prime factors of 78513 are 3, 26171. Prime factorization of 78513 in exponential form is:

78513 = 3¹ × 26171¹

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 78513

List of positive integer factors of 78513 that divides 78507 without a remainder.

1, 3, 26171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78507 and 78513. The biggest common factor number is the GCF number.
So the greatest common factor 78507 and 78513 is 3.

Also check out the Least Common Multiple of 78507 and 78513