What is the Greatest Common Factor of 83889 and 83908?

Greatest common factor (GCF) of 83889 and 83908 is 1.

GCF(83889,83908) = 1

We will now calculate the prime factors of 83889 and 83908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83889 and 83908.

How to find the GCF of 83889 and 83908?

We will first find the prime factorization of 83889 and 83908. After we will calculate the factors of 83889 and 83908 and find the biggest common factor number .

Step-1: Prime Factorization of 83889

Prime factors of 83889 are 3, 13, 239. Prime factorization of 83889 in exponential form is:

83889 = 3³ × 13¹ × 239¹

Step-2: Prime Factorization of 83908

Prime factors of 83908 are 2, 11, 1907. Prime factorization of 83908 in exponential form is:

83908 = 2² × 11¹ × 1907¹

Step-3: Factors of 83889

List of positive integer factors of 83889 that divides 83889 without a remainder.

1, 3, 9, 13, 27, 39, 117, 239, 351, 717, 2151, 3107, 6453, 9321, 27963

Step-4: Factors of 83908

List of positive integer factors of 83908 that divides 83889 without a remainder.

1, 2, 4, 11, 22, 44, 1907, 3814, 7628, 20977, 41954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83889 and 83908. The biggest common factor number is the GCF number.
So the greatest common factor 83889 and 83908 is 1.

Also check out the Least Common Multiple of 83889 and 83908