What is the Greatest Common Factor of 83388 and 83403?

Greatest common factor (GCF) of 83388 and 83403 is 3.

GCF(83388,83403) = 3

We will now calculate the prime factors of 83388 and 83403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83388 and 83403.

How to find the GCF of 83388 and 83403?

We will first find the prime factorization of 83388 and 83403. After we will calculate the factors of 83388 and 83403 and find the biggest common factor number .

Step-1: Prime Factorization of 83388

Prime factors of 83388 are 2, 3, 6949. Prime factorization of 83388 in exponential form is:

83388 = 2² × 3¹ × 6949¹

Step-2: Prime Factorization of 83403

Prime factors of 83403 are 3, 3089. Prime factorization of 83403 in exponential form is:

83403 = 3³ × 3089¹

Step-3: Factors of 83388

List of positive integer factors of 83388 that divides 83388 without a remainder.

1, 2, 3, 4, 6, 12, 6949, 13898, 20847, 27796, 41694

Step-4: Factors of 83403

List of positive integer factors of 83403 that divides 83388 without a remainder.

1, 3, 9, 27, 3089, 9267, 27801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83388 and 83403. The biggest common factor number is the GCF number.
So the greatest common factor 83388 and 83403 is 3.

Also check out the Least Common Multiple of 83388 and 83403