What is the Greatest Common Factor of 83834 and 83838?

Greatest common factor (GCF) of 83834 and 83838 is 2.

GCF(83834,83838) = 2

We will now calculate the prime factors of 83834 and 83838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83834 and 83838.

How to find the GCF of 83834 and 83838?

We will first find the prime factorization of 83834 and 83838. After we will calculate the factors of 83834 and 83838 and find the biggest common factor number .

Step-1: Prime Factorization of 83834

Prime factors of 83834 are 2, 167, 251. Prime factorization of 83834 in exponential form is:

83834 = 2¹ × 167¹ × 251¹

Step-2: Prime Factorization of 83838

Prime factors of 83838 are 2, 3, 89, 157. Prime factorization of 83838 in exponential form is:

83838 = 2¹ × 3¹ × 89¹ × 157¹

Step-3: Factors of 83834

List of positive integer factors of 83834 that divides 83834 without a remainder.

1, 2, 167, 251, 334, 502, 41917

Step-4: Factors of 83838

List of positive integer factors of 83838 that divides 83834 without a remainder.

1, 2, 3, 6, 89, 157, 178, 267, 314, 471, 534, 942, 13973, 27946, 41919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83834 and 83838. The biggest common factor number is the GCF number.
So the greatest common factor 83834 and 83838 is 2.

Also check out the Least Common Multiple of 83834 and 83838