What is the Greatest Common Factor of 22059 and 22078?

Greatest common factor (GCF) of 22059 and 22078 is 19.

GCF(22059,22078) = 19

We will now calculate the prime factors of 22059 and 22078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22059 and 22078.

How to find the GCF of 22059 and 22078?

We will first find the prime factorization of 22059 and 22078. After we will calculate the factors of 22059 and 22078 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 22078

Prime factors of 22078 are 2, 7, 19, 83. Prime factorization of 22078 in exponential form is:

22078 = 2¹ × 7¹ × 19¹ × 83¹

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 22078

List of positive integer factors of 22078 that divides 22059 without a remainder.

1, 2, 7, 14, 19, 38, 83, 133, 166, 266, 581, 1162, 1577, 3154, 11039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22059 and 22078. The biggest common factor number is the GCF number.
So the greatest common factor 22059 and 22078 is 19.

Also check out the Least Common Multiple of 22059 and 22078