What is the Greatest Common Factor of 83274 and 83283?

Greatest common factor (GCF) of 83274 and 83283 is 3.

GCF(83274,83283) = 3

We will now calculate the prime factors of 83274 and 83283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83274 and 83283.

How to find the GCF of 83274 and 83283?

We will first find the prime factorization of 83274 and 83283. After we will calculate the factors of 83274 and 83283 and find the biggest common factor number .

Step-1: Prime Factorization of 83274

Prime factors of 83274 are 2, 3, 13879. Prime factorization of 83274 in exponential form is:

83274 = 2¹ × 3¹ × 13879¹

Step-2: Prime Factorization of 83283

Prime factors of 83283 are 3, 17, 23, 71. Prime factorization of 83283 in exponential form is:

83283 = 3¹ × 17¹ × 23¹ × 71¹

Step-3: Factors of 83274

List of positive integer factors of 83274 that divides 83274 without a remainder.

1, 2, 3, 6, 13879, 27758, 41637

Step-4: Factors of 83283

List of positive integer factors of 83283 that divides 83274 without a remainder.

1, 3, 17, 23, 51, 69, 71, 213, 391, 1173, 1207, 1633, 3621, 4899, 27761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83274 and 83283. The biggest common factor number is the GCF number.
So the greatest common factor 83274 and 83283 is 3.

Also check out the Least Common Multiple of 83274 and 83283