What is the Greatest Common Factor of 22059 and 22079?

Greatest common factor (GCF) of 22059 and 22079 is 1.

GCF(22059,22079) = 1

We will now calculate the prime factors of 22059 and 22079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22059 and 22079.

How to find the GCF of 22059 and 22079?

We will first find the prime factorization of 22059 and 22079. After we will calculate the factors of 22059 and 22079 and find the biggest common factor number .

Step-1: Prime Factorization of 22059

Prime factors of 22059 are 3, 19, 43. Prime factorization of 22059 in exponential form is:

22059 = 3³ × 19¹ × 43¹

Step-2: Prime Factorization of 22079

Prime factors of 22079 are 22079. Prime factorization of 22079 in exponential form is:

22079 = 22079¹

Step-3: Factors of 22059

List of positive integer factors of 22059 that divides 22059 without a remainder.

1, 3, 9, 19, 27, 43, 57, 129, 171, 387, 513, 817, 1161, 2451, 7353

Step-4: Factors of 22079

List of positive integer factors of 22079 that divides 22059 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22059 and 22079. The biggest common factor number is the GCF number.
So the greatest common factor 22059 and 22079 is 1.

Also check out the Least Common Multiple of 22059 and 22079