What is the Greatest Common Factor of 78282 and 78291?

Greatest common factor (GCF) of 78282 and 78291 is 9.

GCF(78282,78291) = 9

We will now calculate the prime factors of 78282 and 78291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78282 and 78291.

How to find the GCF of 78282 and 78291?

We will first find the prime factorization of 78282 and 78291. After we will calculate the factors of 78282 and 78291 and find the biggest common factor number .

Step-1: Prime Factorization of 78282

Prime factors of 78282 are 2, 3, 4349. Prime factorization of 78282 in exponential form is:

78282 = 2¹ × 3² × 4349¹

Step-2: Prime Factorization of 78291

Prime factors of 78291 are 3, 8699. Prime factorization of 78291 in exponential form is:

78291 = 3² × 8699¹

Step-3: Factors of 78282

List of positive integer factors of 78282 that divides 78282 without a remainder.

1, 2, 3, 6, 9, 18, 4349, 8698, 13047, 26094, 39141

Step-4: Factors of 78291

List of positive integer factors of 78291 that divides 78282 without a remainder.

1, 3, 9, 8699, 26097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78282 and 78291. The biggest common factor number is the GCF number.
So the greatest common factor 78282 and 78291 is 9.

Also check out the Least Common Multiple of 78282 and 78291