What is the Greatest Common Factor of 22236 and 22253?

Greatest common factor (GCF) of 22236 and 22253 is 17.

GCF(22236,22253) = 17

We will now calculate the prime factors of 22236 and 22253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22236 and 22253.

How to find the GCF of 22236 and 22253?

We will first find the prime factorization of 22236 and 22253. After we will calculate the factors of 22236 and 22253 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 22253

Prime factors of 22253 are 7, 11, 17. Prime factorization of 22253 in exponential form is:

22253 = 7¹ × 11¹ × 17²

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 22253

List of positive integer factors of 22253 that divides 22236 without a remainder.

1, 7, 11, 17, 77, 119, 187, 289, 1309, 2023, 3179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22236 and 22253. The biggest common factor number is the GCF number.
So the greatest common factor 22236 and 22253 is 17.

Also check out the Least Common Multiple of 22236 and 22253