What is the Greatest Common Factor of 68007 and 68022?

Greatest common factor (GCF) of 68007 and 68022 is 3.

GCF(68007,68022) = 3

We will now calculate the prime factors of 68007 and 68022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68007 and 68022.

How to find the GCF of 68007 and 68022?

We will first find the prime factorization of 68007 and 68022. After we will calculate the factors of 68007 and 68022 and find the biggest common factor number .

Step-1: Prime Factorization of 68007

Prime factors of 68007 are 3, 22669. Prime factorization of 68007 in exponential form is:

68007 = 3¹ × 22669¹

Step-2: Prime Factorization of 68022

Prime factors of 68022 are 2, 3, 3779. Prime factorization of 68022 in exponential form is:

68022 = 2¹ × 3² × 3779¹

Step-3: Factors of 68007

List of positive integer factors of 68007 that divides 68007 without a remainder.

1, 3, 22669

Step-4: Factors of 68022

List of positive integer factors of 68022 that divides 68007 without a remainder.

1, 2, 3, 6, 9, 18, 3779, 7558, 11337, 22674, 34011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68007 and 68022. The biggest common factor number is the GCF number.
So the greatest common factor 68007 and 68022 is 3.

Also check out the Least Common Multiple of 68007 and 68022