What is the Greatest Common Factor of 78537 and 78543?

Greatest common factor (GCF) of 78537 and 78543 is 3.

GCF(78537,78543) = 3

We will now calculate the prime factors of 78537 and 78543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78537 and 78543.

How to find the GCF of 78537 and 78543?

We will first find the prime factorization of 78537 and 78543. After we will calculate the factors of 78537 and 78543 and find the biggest common factor number .

Step-1: Prime Factorization of 78537

Prime factors of 78537 are 3, 47, 557. Prime factorization of 78537 in exponential form is:

78537 = 3¹ × 47¹ × 557¹

Step-2: Prime Factorization of 78543

Prime factors of 78543 are 3, 2909. Prime factorization of 78543 in exponential form is:

78543 = 3³ × 2909¹

Step-3: Factors of 78537

List of positive integer factors of 78537 that divides 78537 without a remainder.

1, 3, 47, 141, 557, 1671, 26179

Step-4: Factors of 78543

List of positive integer factors of 78543 that divides 78537 without a remainder.

1, 3, 9, 27, 2909, 8727, 26181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78537 and 78543. The biggest common factor number is the GCF number.
So the greatest common factor 78537 and 78543 is 3.

Also check out the Least Common Multiple of 78537 and 78543