What is the Greatest Common Factor of 22047 and 22059?

Greatest common factor (GCF) of 22047 and 22059 is 3.

GCF(22047,22059) = 3

We will now calculate the prime factors of 22047 and 22059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22047 and 22059.

How to find the GCF of 22047 and 22059?

We will first find the prime factorization of 22047 and 22059. After we will calculate the factors of 22047 and 22059 and find the biggest common factor number .

Step-1: Prime Factorization of 22047

Prime factors of 22047 are 3, 7349. Prime factorization of 22047 in exponential form is:

22047 = 3¹ × 7349¹

Step-2: 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-3: Factors of 22047

List of positive integer factors of 22047 that divides 22047 without a remainder.

1, 3, 7349

Step-4: Factors of 22059

List of positive integer factors of 22059 that divides 22047 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22047 and 22059. The biggest common factor number is the GCF number.
So the greatest common factor 22047 and 22059 is 3.

Also check out the Least Common Multiple of 22047 and 22059