What is the Greatest Common Factor of 36008 and 36022?

Greatest common factor (GCF) of 36008 and 36022 is 14.

GCF(36008,36022) = 14

We will now calculate the prime factors of 36008 and 36022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36008 and 36022.

How to find the GCF of 36008 and 36022?

We will first find the prime factorization of 36008 and 36022. After we will calculate the factors of 36008 and 36022 and find the biggest common factor number .

Step-1: Prime Factorization of 36008

Prime factors of 36008 are 2, 7, 643. Prime factorization of 36008 in exponential form is:

36008 = 2³ × 7¹ × 643¹

Step-2: Prime Factorization of 36022

Prime factors of 36022 are 2, 7, 31, 83. Prime factorization of 36022 in exponential form is:

36022 = 2¹ × 7¹ × 31¹ × 83¹

Step-3: Factors of 36008

List of positive integer factors of 36008 that divides 36008 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 643, 1286, 2572, 4501, 5144, 9002, 18004

Step-4: Factors of 36022

List of positive integer factors of 36022 that divides 36008 without a remainder.

1, 2, 7, 14, 31, 62, 83, 166, 217, 434, 581, 1162, 2573, 5146, 18011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36008 and 36022. The biggest common factor number is the GCF number.
So the greatest common factor 36008 and 36022 is 14.

Also check out the Least Common Multiple of 36008 and 36022