What is the Greatest Common Factor of 78285 and 78297?

Greatest common factor (GCF) of 78285 and 78297 is 3.

GCF(78285,78297) = 3

We will now calculate the prime factors of 78285 and 78297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78285 and 78297.

How to find the GCF of 78285 and 78297?

We will first find the prime factorization of 78285 and 78297. After we will calculate the factors of 78285 and 78297 and find the biggest common factor number .

Step-1: Prime Factorization of 78285

Prime factors of 78285 are 3, 5, 17, 307. Prime factorization of 78285 in exponential form is:

78285 = 3¹ × 5¹ × 17¹ × 307¹

Step-2: Prime Factorization of 78297

Prime factors of 78297 are 3, 26099. Prime factorization of 78297 in exponential form is:

78297 = 3¹ × 26099¹

Step-3: Factors of 78285

List of positive integer factors of 78285 that divides 78285 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 307, 921, 1535, 4605, 5219, 15657, 26095

Step-4: Factors of 78297

List of positive integer factors of 78297 that divides 78285 without a remainder.

1, 3, 26099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78285 and 78297. The biggest common factor number is the GCF number.
So the greatest common factor 78285 and 78297 is 3.

Also check out the Least Common Multiple of 78285 and 78297