What is the Greatest Common Factor of 23345 and 23352?

Greatest common factor (GCF) of 23345 and 23352 is 7.

GCF(23345,23352) = 7

We will now calculate the prime factors of 23345 and 23352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23345 and 23352.

How to find the GCF of 23345 and 23352?

We will first find the prime factorization of 23345 and 23352. After we will calculate the factors of 23345 and 23352 and find the biggest common factor number .

Step-1: Prime Factorization of 23345

Prime factors of 23345 are 5, 7, 23, 29. Prime factorization of 23345 in exponential form is:

23345 = 5¹ × 7¹ × 23¹ × 29¹

Step-2: 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-3: Factors of 23345

List of positive integer factors of 23345 that divides 23345 without a remainder.

1, 5, 7, 23, 29, 35, 115, 145, 161, 203, 667, 805, 1015, 3335, 4669

Step-4: Factors of 23352

List of positive integer factors of 23352 that divides 23345 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23345 and 23352. The biggest common factor number is the GCF number.
So the greatest common factor 23345 and 23352 is 7.

Also check out the Least Common Multiple of 23345 and 23352