What is the Greatest Common Factor of 22380 and 22384?

Greatest common factor (GCF) of 22380 and 22384 is 4.

GCF(22380,22384) = 4

We will now calculate the prime factors of 22380 and 22384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22380 and 22384.

How to find the GCF of 22380 and 22384?

We will first find the prime factorization of 22380 and 22384. After we will calculate the factors of 22380 and 22384 and find the biggest common factor number .

Step-1: Prime Factorization of 22380

Prime factors of 22380 are 2, 3, 5, 373. Prime factorization of 22380 in exponential form is:

22380 = 2² × 3¹ × 5¹ × 373¹

Step-2: Prime Factorization of 22384

Prime factors of 22384 are 2, 1399. Prime factorization of 22384 in exponential form is:

22384 = 2⁴ × 1399¹

Step-3: Factors of 22380

List of positive integer factors of 22380 that divides 22380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 373, 746, 1119, 1492, 1865, 2238, 3730, 4476, 5595, 7460, 11190

Step-4: Factors of 22384

List of positive integer factors of 22384 that divides 22380 without a remainder.

1, 2, 4, 8, 16, 1399, 2798, 5596, 11192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22380 and 22384. The biggest common factor number is the GCF number.
So the greatest common factor 22380 and 22384 is 4.

Also check out the Least Common Multiple of 22380 and 22384