What is the Greatest Common Factor of 22364 and 22380?

Greatest common factor (GCF) of 22364 and 22380 is 4.

GCF(22364,22380) = 4

We will now calculate the prime factors of 22364 and 22380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22364 and 22380.

How to find the GCF of 22364 and 22380?

We will first find the prime factorization of 22364 and 22380. After we will calculate the factors of 22364 and 22380 and find the biggest common factor number .

Step-1: Prime Factorization of 22364

Prime factors of 22364 are 2, 5591. Prime factorization of 22364 in exponential form is:

22364 = 2² × 5591¹

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 22364

List of positive integer factors of 22364 that divides 22364 without a remainder.

1, 2, 4, 5591, 11182

Step-4: Factors of 22380

List of positive integer factors of 22380 that divides 22364 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 22364 and 22380. The biggest common factor number is the GCF number.
So the greatest common factor 22364 and 22380 is 4.

Also check out the Least Common Multiple of 22364 and 22380