What is the Greatest Common Factor of 22041 and 22050?

Greatest common factor (GCF) of 22041 and 22050 is 9.

GCF(22041,22050) = 9

We will now calculate the prime factors of 22041 and 22050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22041 and 22050.

How to find the GCF of 22041 and 22050?

We will first find the prime factorization of 22041 and 22050. After we will calculate the factors of 22041 and 22050 and find the biggest common factor number .

Step-1: Prime Factorization of 22041

Prime factors of 22041 are 3, 31, 79. Prime factorization of 22041 in exponential form is:

22041 = 3² × 31¹ × 79¹

Step-2: 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-3: Factors of 22041

List of positive integer factors of 22041 that divides 22041 without a remainder.

1, 3, 9, 31, 79, 93, 237, 279, 711, 2449, 7347

Step-4: Factors of 22050

List of positive integer factors of 22050 that divides 22041 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22041 and 22050. The biggest common factor number is the GCF number.
So the greatest common factor 22041 and 22050 is 9.

Also check out the Least Common Multiple of 22041 and 22050