What is the Greatest Common Factor of 22050 and 22060?

Greatest common factor (GCF) of 22050 and 22060 is 10.

GCF(22050,22060) = 10

We will now calculate the prime factors of 22050 and 22060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22050 and 22060.

How to find the GCF of 22050 and 22060?

We will first find the prime factorization of 22050 and 22060. After we will calculate the factors of 22050 and 22060 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 22060

Prime factors of 22060 are 2, 5, 1103. Prime factorization of 22060 in exponential form is:

22060 = 2² × 5¹ × 1103¹

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 22060

List of positive integer factors of 22060 that divides 22050 without a remainder.

1, 2, 4, 5, 10, 20, 1103, 2206, 4412, 5515, 11030

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22050 and 22060. The biggest common factor number is the GCF number.
So the greatest common factor 22050 and 22060 is 10.

Also check out the Least Common Multiple of 22050 and 22060