What is the Greatest Common Factor of 82983 and 83003?

Greatest common factor (GCF) of 82983 and 83003 is 1.

GCF(82983,83003) = 1

We will now calculate the prime factors of 82983 and 83003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82983 and 83003.

How to find the GCF of 82983 and 83003?

We will first find the prime factorization of 82983 and 83003. After we will calculate the factors of 82983 and 83003 and find the biggest common factor number .

Step-1: Prime Factorization of 82983

Prime factors of 82983 are 3, 139, 199. Prime factorization of 82983 in exponential form is:

82983 = 3¹ × 139¹ × 199¹

Step-2: Prime Factorization of 83003

Prime factors of 83003 are 83003. Prime factorization of 83003 in exponential form is:

83003 = 83003¹

Step-3: Factors of 82983

List of positive integer factors of 82983 that divides 82983 without a remainder.

1, 3, 139, 199, 417, 597, 27661

Step-4: Factors of 83003

List of positive integer factors of 83003 that divides 82983 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82983 and 83003. The biggest common factor number is the GCF number.
So the greatest common factor 82983 and 83003 is 1.

Also check out the Least Common Multiple of 82983 and 83003