What is the Greatest Common Factor of 22253 and 22258?

Greatest common factor (GCF) of 22253 and 22258 is 1.

GCF(22253,22258) = 1

We will now calculate the prime factors of 22253 and 22258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22253 and 22258.

How to find the GCF of 22253 and 22258?

We will first find the prime factorization of 22253 and 22258. After we will calculate the factors of 22253 and 22258 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22258

Prime factors of 22258 are 2, 31, 359. Prime factorization of 22258 in exponential form is:

22258 = 2¹ × 31¹ × 359¹

Step-3: Factors of 22253

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

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

Step-4: Factors of 22258

List of positive integer factors of 22258 that divides 22253 without a remainder.

1, 2, 31, 62, 359, 718, 11129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22253 and 22258. The biggest common factor number is the GCF number.
So the greatest common factor 22253 and 22258 is 1.

Also check out the Least Common Multiple of 22253 and 22258