What is the Greatest Common Factor of 22295 and 22302?

Greatest common factor (GCF) of 22295 and 22302 is 7.

GCF(22295,22302) = 7

We will now calculate the prime factors of 22295 and 22302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22295 and 22302.

How to find the GCF of 22295 and 22302?

We will first find the prime factorization of 22295 and 22302. After we will calculate the factors of 22295 and 22302 and find the biggest common factor number .

Step-1: Prime Factorization of 22295

Prime factors of 22295 are 5, 7, 13. Prime factorization of 22295 in exponential form is:

22295 = 5¹ × 7³ × 13¹

Step-2: Prime Factorization of 22302

Prime factors of 22302 are 2, 3, 7, 59. Prime factorization of 22302 in exponential form is:

22302 = 2¹ × 3³ × 7¹ × 59¹

Step-3: Factors of 22295

List of positive integer factors of 22295 that divides 22295 without a remainder.

1, 5, 7, 13, 35, 49, 65, 91, 245, 343, 455, 637, 1715, 3185, 4459

Step-4: Factors of 22302

List of positive integer factors of 22302 that divides 22295 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 59, 63, 118, 126, 177, 189, 354, 378, 413, 531, 826, 1062, 1239, 1593, 2478, 3186, 3717, 7434, 11151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22295 and 22302. The biggest common factor number is the GCF number.
So the greatest common factor 22295 and 22302 is 7.

Also check out the Least Common Multiple of 22295 and 22302