What is the Greatest Common Factor of 83008 and 83022?

Greatest common factor (GCF) of 83008 and 83022 is 2.

GCF(83008,83022) = 2

We will now calculate the prime factors of 83008 and 83022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83008 and 83022.

How to find the GCF of 83008 and 83022?

We will first find the prime factorization of 83008 and 83022. After we will calculate the factors of 83008 and 83022 and find the biggest common factor number .

Step-1: Prime Factorization of 83008

Prime factors of 83008 are 2, 1297. Prime factorization of 83008 in exponential form is:

83008 = 2⁶ × 1297¹

Step-2: Prime Factorization of 83022

Prime factors of 83022 are 2, 3, 101, 137. Prime factorization of 83022 in exponential form is:

83022 = 2¹ × 3¹ × 101¹ × 137¹

Step-3: Factors of 83008

List of positive integer factors of 83008 that divides 83008 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1297, 2594, 5188, 10376, 20752, 41504

Step-4: Factors of 83022

List of positive integer factors of 83022 that divides 83008 without a remainder.

1, 2, 3, 6, 101, 137, 202, 274, 303, 411, 606, 822, 13837, 27674, 41511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83008 and 83022. The biggest common factor number is the GCF number.
So the greatest common factor 83008 and 83022 is 2.

Also check out the Least Common Multiple of 83008 and 83022