What is the Greatest Common Factor of 23352 and 23366?

Greatest common factor (GCF) of 23352 and 23366 is 14.

GCF(23352,23366) = 14

We will now calculate the prime factors of 23352 and 23366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23352 and 23366.

How to find the GCF of 23352 and 23366?

We will first find the prime factorization of 23352 and 23366. After we will calculate the factors of 23352 and 23366 and find the biggest common factor number .

Step-1: Prime Factorization of 23352

Prime factors of 23352 are 2, 3, 7, 139. Prime factorization of 23352 in exponential form is:

23352 = 2³ × 3¹ × 7¹ × 139¹

Step-2: Prime Factorization of 23366

Prime factors of 23366 are 2, 7, 1669. Prime factorization of 23366 in exponential form is:

23366 = 2¹ × 7¹ × 1669¹

Step-3: Factors of 23352

List of positive integer factors of 23352 that divides 23352 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 139, 168, 278, 417, 556, 834, 973, 1112, 1668, 1946, 2919, 3336, 3892, 5838, 7784, 11676

Step-4: Factors of 23366

List of positive integer factors of 23366 that divides 23352 without a remainder.

1, 2, 7, 14, 1669, 3338, 11683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23352 and 23366. The biggest common factor number is the GCF number.
So the greatest common factor 23352 and 23366 is 14.

Also check out the Least Common Multiple of 23352 and 23366