What is the Greatest Common Factor of 22090 and 22100?

Greatest common factor (GCF) of 22090 and 22100 is 10.

GCF(22090,22100) = 10

We will now calculate the prime factors of 22090 and 22100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22090 and 22100.

How to find the GCF of 22090 and 22100?

We will first find the prime factorization of 22090 and 22100. After we will calculate the factors of 22090 and 22100 and find the biggest common factor number .

Step-1: Prime Factorization of 22090

Prime factors of 22090 are 2, 5, 47. Prime factorization of 22090 in exponential form is:

22090 = 2¹ × 5¹ × 47²

Step-2: 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-3: Factors of 22090

List of positive integer factors of 22090 that divides 22090 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470, 2209, 4418, 11045

Step-4: Factors of 22100

List of positive integer factors of 22100 that divides 22090 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22090 and 22100. The biggest common factor number is the GCF number.
So the greatest common factor 22090 and 22100 is 10.

Also check out the Least Common Multiple of 22090 and 22100