What is the Greatest Common Factor of 22080 and 22084?

Greatest common factor (GCF) of 22080 and 22084 is 4.

GCF(22080,22084) = 4

We will now calculate the prime factors of 22080 and 22084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22080 and 22084.

How to find the GCF of 22080 and 22084?

We will first find the prime factorization of 22080 and 22084. After we will calculate the factors of 22080 and 22084 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 22084

Prime factors of 22084 are 2, 5521. Prime factorization of 22084 in exponential form is:

22084 = 2² × 5521¹

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 22084

List of positive integer factors of 22084 that divides 22080 without a remainder.

1, 2, 4, 5521, 11042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22080 and 22084. The biggest common factor number is the GCF number.
So the greatest common factor 22080 and 22084 is 4.

Also check out the Least Common Multiple of 22080 and 22084