What is the Greatest Common Factor of 22001 and 22009?

Greatest common factor (GCF) of 22001 and 22009 is 1.

GCF(22001,22009) = 1

We will now calculate the prime factors of 22001 and 22009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22001 and 22009.

How to find the GCF of 22001 and 22009?

We will first find the prime factorization of 22001 and 22009. After we will calculate the factors of 22001 and 22009 and find the biggest common factor number .

Step-1: Prime Factorization of 22001

Prime factors of 22001 are 7, 449. Prime factorization of 22001 in exponential form is:

22001 = 7² × 449¹

Step-2: Prime Factorization of 22009

Prime factors of 22009 are 13, 1693. Prime factorization of 22009 in exponential form is:

22009 = 13¹ × 1693¹

Step-3: Factors of 22001

List of positive integer factors of 22001 that divides 22001 without a remainder.

1, 7, 49, 449, 3143

Step-4: Factors of 22009

List of positive integer factors of 22009 that divides 22001 without a remainder.

1, 13, 1693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22001 and 22009. The biggest common factor number is the GCF number.
So the greatest common factor 22001 and 22009 is 1.

Also check out the Least Common Multiple of 22001 and 22009