What is the Greatest Common Factor of 22236 and 22245?

Greatest common factor (GCF) of 22236 and 22245 is 3.

GCF(22236,22245) = 3

We will now calculate the prime factors of 22236 and 22245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22236 and 22245.

How to find the GCF of 22236 and 22245?

We will first find the prime factorization of 22236 and 22245. After we will calculate the factors of 22236 and 22245 and find the biggest common factor number .

Step-1: Prime Factorization of 22236

Prime factors of 22236 are 2, 3, 17, 109. Prime factorization of 22236 in exponential form is:

22236 = 2² × 3¹ × 17¹ × 109¹

Step-2: Prime Factorization of 22245

Prime factors of 22245 are 3, 5, 1483. Prime factorization of 22245 in exponential form is:

22245 = 3¹ × 5¹ × 1483¹

Step-3: Factors of 22236

List of positive integer factors of 22236 that divides 22236 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 109, 204, 218, 327, 436, 654, 1308, 1853, 3706, 5559, 7412, 11118

Step-4: Factors of 22245

List of positive integer factors of 22245 that divides 22236 without a remainder.

1, 3, 5, 15, 1483, 4449, 7415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22236 and 22245. The biggest common factor number is the GCF number.
So the greatest common factor 22236 and 22245 is 3.

Also check out the Least Common Multiple of 22236 and 22245