What is the Greatest Common Factor of 68274 and 68283?

Greatest common factor (GCF) of 68274 and 68283 is 9.

GCF(68274,68283) = 9

We will now calculate the prime factors of 68274 and 68283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68274 and 68283.

How to find the GCF of 68274 and 68283?

We will first find the prime factorization of 68274 and 68283. After we will calculate the factors of 68274 and 68283 and find the biggest common factor number .

Step-1: Prime Factorization of 68274

Prime factors of 68274 are 2, 3, 3793. Prime factorization of 68274 in exponential form is:

68274 = 2¹ × 3² × 3793¹

Step-2: Prime Factorization of 68283

Prime factors of 68283 are 3, 281. Prime factorization of 68283 in exponential form is:

68283 = 3⁵ × 281¹

Step-3: Factors of 68274

List of positive integer factors of 68274 that divides 68274 without a remainder.

1, 2, 3, 6, 9, 18, 3793, 7586, 11379, 22758, 34137

Step-4: Factors of 68283

List of positive integer factors of 68283 that divides 68274 without a remainder.

1, 3, 9, 27, 81, 243, 281, 843, 2529, 7587, 22761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68274 and 68283. The biggest common factor number is the GCF number.
So the greatest common factor 68274 and 68283 is 9.

Also check out the Least Common Multiple of 68274 and 68283