What is the Greatest Common Factor of 22302 and 22316?

Greatest common factor (GCF) of 22302 and 22316 is 14.

GCF(22302,22316) = 14

We will now calculate the prime factors of 22302 and 22316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22302 and 22316.

How to find the GCF of 22302 and 22316?

We will first find the prime factorization of 22302 and 22316. After we will calculate the factors of 22302 and 22316 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22316

Prime factors of 22316 are 2, 7, 797. Prime factorization of 22316 in exponential form is:

22316 = 2² × 7¹ × 797¹

Step-3: Factors of 22302

List of positive integer factors of 22302 that divides 22302 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

Step-4: Factors of 22316

List of positive integer factors of 22316 that divides 22302 without a remainder.

1, 2, 4, 7, 14, 28, 797, 1594, 3188, 5579, 11158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22302 and 22316. The biggest common factor number is the GCF number.
So the greatest common factor 22302 and 22316 is 14.

Also check out the Least Common Multiple of 22302 and 22316