What is the Greatest Common Factor of 22360 and 22380?

Greatest common factor (GCF) of 22360 and 22380 is 20.

GCF(22360,22380) = 20

We will now calculate the prime factors of 22360 and 22380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22360 and 22380.

How to find the GCF of 22360 and 22380?

We will first find the prime factorization of 22360 and 22380. After we will calculate the factors of 22360 and 22380 and find the biggest common factor number .

Step-1: Prime Factorization of 22360

Prime factors of 22360 are 2, 5, 13, 43. Prime factorization of 22360 in exponential form is:

22360 = 2³ × 5¹ × 13¹ × 43¹

Step-2: 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-3: Factors of 22360

List of positive integer factors of 22360 that divides 22360 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 43, 52, 65, 86, 104, 130, 172, 215, 260, 344, 430, 520, 559, 860, 1118, 1720, 2236, 2795, 4472, 5590, 11180

Step-4: Factors of 22380

List of positive integer factors of 22380 that divides 22360 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22360 and 22380. The biggest common factor number is the GCF number.
So the greatest common factor 22360 and 22380 is 20.

Also check out the Least Common Multiple of 22360 and 22380