What is the Greatest Common Factor of 88009 and 88022?

Greatest common factor (GCF) of 88009 and 88022 is 1.

GCF(88009,88022) = 1

We will now calculate the prime factors of 88009 and 88022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88009 and 88022.

How to find the GCF of 88009 and 88022?

We will first find the prime factorization of 88009 and 88022. After we will calculate the factors of 88009 and 88022 and find the biggest common factor number .

Step-1: Prime Factorization of 88009

Prime factors of 88009 are 17, 31, 167. Prime factorization of 88009 in exponential form is:

88009 = 17¹ × 31¹ × 167¹

Step-2: Prime Factorization of 88022

Prime factors of 88022 are 2, 11, 4001. Prime factorization of 88022 in exponential form is:

88022 = 2¹ × 11¹ × 4001¹

Step-3: Factors of 88009

List of positive integer factors of 88009 that divides 88009 without a remainder.

1, 17, 31, 167, 527, 2839, 5177

Step-4: Factors of 88022

List of positive integer factors of 88022 that divides 88009 without a remainder.

1, 2, 11, 22, 4001, 8002, 44011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88009 and 88022. The biggest common factor number is the GCF number.
So the greatest common factor 88009 and 88022 is 1.

Also check out the Least Common Multiple of 88009 and 88022