What is the Greatest Common Factor of 78493 and 78507?

Greatest common factor (GCF) of 78493 and 78507 is 1.

GCF(78493,78507) = 1

We will now calculate the prime factors of 78493 and 78507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78493 and 78507.

How to find the GCF of 78493 and 78507?

We will first find the prime factorization of 78493 and 78507. After we will calculate the factors of 78493 and 78507 and find the biggest common factor number .

Step-1: Prime Factorization of 78493

Prime factors of 78493 are 53, 1481. Prime factorization of 78493 in exponential form is:

78493 = 53¹ × 1481¹

Step-2: 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-3: Factors of 78493

List of positive integer factors of 78493 that divides 78493 without a remainder.

1, 53, 1481

Step-4: Factors of 78507

List of positive integer factors of 78507 that divides 78493 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78493 and 78507. The biggest common factor number is the GCF number.
So the greatest common factor 78493 and 78507 is 1.

Also check out the Least Common Multiple of 78493 and 78507