What is the Greatest Common Factor of 22050 and 22056?

Greatest common factor (GCF) of 22050 and 22056 is 6.

GCF(22050,22056) = 6

We will now calculate the prime factors of 22050 and 22056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22050 and 22056.

How to find the GCF of 22050 and 22056?

We will first find the prime factorization of 22050 and 22056. After we will calculate the factors of 22050 and 22056 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 22056

Prime factors of 22056 are 2, 3, 919. Prime factorization of 22056 in exponential form is:

22056 = 2³ × 3¹ × 919¹

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 22056

List of positive integer factors of 22056 that divides 22050 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 919, 1838, 2757, 3676, 5514, 7352, 11028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22050 and 22056. The biggest common factor number is the GCF number.
So the greatest common factor 22050 and 22056 is 6.

Also check out the Least Common Multiple of 22050 and 22056