What is the Greatest Common Factor of 22100 and 22110?

Greatest common factor (GCF) of 22100 and 22110 is 10.

GCF(22100,22110) = 10

We will now calculate the prime factors of 22100 and 22110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22100 and 22110.

How to find the GCF of 22100 and 22110?

We will first find the prime factorization of 22100 and 22110. After we will calculate the factors of 22100 and 22110 and find the biggest common factor number .

Step-1: Prime Factorization of 22100

Prime factors of 22100 are 2, 5, 13, 17. Prime factorization of 22100 in exponential form is:

22100 = 2² × 5² × 13¹ × 17¹

Step-2: Prime Factorization of 22110

Prime factors of 22110 are 2, 3, 5, 11, 67. Prime factorization of 22110 in exponential form is:

22110 = 2¹ × 3¹ × 5¹ × 11¹ × 67¹

Step-3: Factors of 22100

List of positive integer factors of 22100 that divides 22100 without a remainder.

1, 2, 4, 5, 10, 13, 17, 20, 25, 26, 34, 50, 52, 65, 68, 85, 100, 130, 170, 221, 260, 325, 340, 425, 442, 650, 850, 884, 1105, 1300, 1700, 2210, 4420, 5525, 11050

Step-4: Factors of 22110

List of positive integer factors of 22110 that divides 22100 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 67, 110, 134, 165, 201, 330, 335, 402, 670, 737, 1005, 1474, 2010, 2211, 3685, 4422, 7370, 11055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22100 and 22110. The biggest common factor number is the GCF number.
So the greatest common factor 22100 and 22110 is 10.

Also check out the Least Common Multiple of 22100 and 22110