What is the Greatest Common Factor of 83814 and 83834?

Greatest common factor (GCF) of 83814 and 83834 is 2.

GCF(83814,83834) = 2

We will now calculate the prime factors of 83814 and 83834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83814 and 83834.

How to find the GCF of 83814 and 83834?

We will first find the prime factorization of 83814 and 83834. After we will calculate the factors of 83814 and 83834 and find the biggest common factor number .

Step-1: Prime Factorization of 83814

Prime factors of 83814 are 2, 3, 61, 229. Prime factorization of 83814 in exponential form is:

83814 = 2¹ × 3¹ × 61¹ × 229¹

Step-2: 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-3: Factors of 83814

List of positive integer factors of 83814 that divides 83814 without a remainder.

1, 2, 3, 6, 61, 122, 183, 229, 366, 458, 687, 1374, 13969, 27938, 41907

Step-4: Factors of 83834

List of positive integer factors of 83834 that divides 83814 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83814 and 83834. The biggest common factor number is the GCF number.
So the greatest common factor 83814 and 83834 is 2.

Also check out the Least Common Multiple of 83814 and 83834