What is the Greatest Common Factor of 12353 and 12364?

Greatest common factor (GCF) of 12353 and 12364 is 11.

GCF(12353,12364) = 11

We will now calculate the prime factors of 12353 and 12364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12353 and 12364.

How to find the GCF of 12353 and 12364?

We will first find the prime factorization of 12353 and 12364. After we will calculate the factors of 12353 and 12364 and find the biggest common factor number .

Step-1: Prime Factorization of 12353

Prime factors of 12353 are 11, 1123. Prime factorization of 12353 in exponential form is:

12353 = 11¹ × 1123¹

Step-2: Prime Factorization of 12364

Prime factors of 12364 are 2, 11, 281. Prime factorization of 12364 in exponential form is:

12364 = 2² × 11¹ × 281¹

Step-3: Factors of 12353

List of positive integer factors of 12353 that divides 12353 without a remainder.

1, 11, 1123

Step-4: Factors of 12364

List of positive integer factors of 12364 that divides 12353 without a remainder.

1, 2, 4, 11, 22, 44, 281, 562, 1124, 3091, 6182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12353 and 12364. The biggest common factor number is the GCF number.
So the greatest common factor 12353 and 12364 is 11.

Also check out the Least Common Multiple of 12353 and 12364