What is the Greatest Common Factor of 22080 and 22090?

Greatest common factor (GCF) of 22080 and 22090 is 10.

GCF(22080,22090) = 10

We will now calculate the prime factors of 22080 and 22090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22080 and 22090.

How to find the GCF of 22080 and 22090?

We will first find the prime factorization of 22080 and 22090. After we will calculate the factors of 22080 and 22090 and find the biggest common factor number .

Step-1: Prime Factorization of 22080

Prime factors of 22080 are 2, 3, 5, 23. Prime factorization of 22080 in exponential form is:

22080 = 2⁶ × 3¹ × 5¹ × 23¹

Step-2: 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-3: Factors of 22080

List of positive integer factors of 22080 that divides 22080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 32, 40, 46, 48, 60, 64, 69, 80, 92, 96, 115, 120, 138, 160, 184, 192, 230, 240, 276, 320, 345, 368, 460, 480, 552, 690, 736, 920, 960, 1104, 1380, 1472, 1840, 2208, 2760, 3680, 4416, 5520, 7360, 11040

Step-4: Factors of 22090

List of positive integer factors of 22090 that divides 22080 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22080 and 22090. The biggest common factor number is the GCF number.
So the greatest common factor 22080 and 22090 is 10.

Also check out the Least Common Multiple of 22080 and 22090