What is the Greatest Common Factor of 22242 and 22253?

Greatest common factor (GCF) of 22242 and 22253 is 11.

GCF(22242,22253) = 11

We will now calculate the prime factors of 22242 and 22253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22242 and 22253.

How to find the GCF of 22242 and 22253?

We will first find the prime factorization of 22242 and 22253. After we will calculate the factors of 22242 and 22253 and find the biggest common factor number .

Step-1: Prime Factorization of 22242

Prime factors of 22242 are 2, 3, 11, 337. Prime factorization of 22242 in exponential form is:

22242 = 2¹ × 3¹ × 11¹ × 337¹

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 22242

List of positive integer factors of 22242 that divides 22242 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 337, 674, 1011, 2022, 3707, 7414, 11121

Step-4: Factors of 22253

List of positive integer factors of 22253 that divides 22242 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 22242 and 22253. The biggest common factor number is the GCF number.
So the greatest common factor 22242 and 22253 is 11.

Also check out the Least Common Multiple of 22242 and 22253