What is the Greatest Common Factor of 83391 and 83402?

Greatest common factor (GCF) of 83391 and 83402 is 11.

GCF(83391,83402) = 11

We will now calculate the prime factors of 83391 and 83402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83391 and 83402.

How to find the GCF of 83391 and 83402?

We will first find the prime factorization of 83391 and 83402. After we will calculate the factors of 83391 and 83402 and find the biggest common factor number .

Step-1: Prime Factorization of 83391

Prime factors of 83391 are 3, 7, 11, 19. Prime factorization of 83391 in exponential form is:

83391 = 3¹ × 7¹ × 11¹ × 19²

Step-2: Prime Factorization of 83402

Prime factors of 83402 are 2, 11, 17, 223. Prime factorization of 83402 in exponential form is:

83402 = 2¹ × 11¹ × 17¹ × 223¹

Step-3: Factors of 83391

List of positive integer factors of 83391 that divides 83391 without a remainder.

1, 3, 7, 11, 19, 21, 33, 57, 77, 133, 209, 231, 361, 399, 627, 1083, 1463, 2527, 3971, 4389, 7581, 11913, 27797

Step-4: Factors of 83402

List of positive integer factors of 83402 that divides 83391 without a remainder.

1, 2, 11, 17, 22, 34, 187, 223, 374, 446, 2453, 3791, 4906, 7582, 41701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83391 and 83402. The biggest common factor number is the GCF number.
So the greatest common factor 83391 and 83402 is 11.

Also check out the Least Common Multiple of 83391 and 83402