What is the Greatest Common Factor of 22050 and 22058?

Greatest common factor (GCF) of 22050 and 22058 is 2.

GCF(22050,22058) = 2

We will now calculate the prime factors of 22050 and 22058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22050 and 22058.

How to find the GCF of 22050 and 22058?

We will first find the prime factorization of 22050 and 22058. After we will calculate the factors of 22050 and 22058 and find the biggest common factor number .

Step-1: Prime Factorization of 22050

Prime factors of 22050 are 2, 3, 5, 7. Prime factorization of 22050 in exponential form is:

22050 = 2¹ × 3² × 5² × 7²

Step-2: Prime Factorization of 22058

Prime factors of 22058 are 2, 41, 269. Prime factorization of 22058 in exponential form is:

22058 = 2¹ × 41¹ × 269¹

Step-3: Factors of 22050

List of positive integer factors of 22050 that divides 22050 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 49, 50, 63, 70, 75, 90, 98, 105, 126, 147, 150, 175, 210, 225, 245, 294, 315, 350, 441, 450, 490, 525, 630, 735, 882, 1050, 1225, 1470, 1575, 2205, 2450, 3150, 3675, 4410, 7350, 11025

Step-4: Factors of 22058

List of positive integer factors of 22058 that divides 22050 without a remainder.

1, 2, 41, 82, 269, 538, 11029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22050 and 22058. The biggest common factor number is the GCF number.
So the greatest common factor 22050 and 22058 is 2.

Also check out the Least Common Multiple of 22050 and 22058