What is the Greatest Common Factor of 22080 and 22096?

Greatest common factor (GCF) of 22080 and 22096 is 16.

GCF(22080,22096) = 16

We will now calculate the prime factors of 22080 and 22096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22080 and 22096.

How to find the GCF of 22080 and 22096?

We will first find the prime factorization of 22080 and 22096. After we will calculate the factors of 22080 and 22096 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 22096

Prime factors of 22096 are 2, 1381. Prime factorization of 22096 in exponential form is:

22096 = 2⁴ × 1381¹

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 22096

List of positive integer factors of 22096 that divides 22080 without a remainder.

1, 2, 4, 8, 16, 1381, 2762, 5524, 11048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22080 and 22096. The biggest common factor number is the GCF number.
So the greatest common factor 22080 and 22096 is 16.

Also check out the Least Common Multiple of 22080 and 22096