What is the Greatest Common Factor of 9345 and 9352?

Greatest common factor (GCF) of 9345 and 9352 is 7.

GCF(9345,9352) = 7

We will now calculate the prime factors of 9345 and 9352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9345 and 9352.

How to find the GCF of 9345 and 9352?

We will first find the prime factorization of 9345 and 9352. After we will calculate the factors of 9345 and 9352 and find the biggest common factor number .

Step-1: Prime Factorization of 9345

Prime factors of 9345 are 3, 5, 7, 89. Prime factorization of 9345 in exponential form is:

9345 = 3¹ × 5¹ × 7¹ × 89¹

Step-2: Prime Factorization of 9352

Prime factors of 9352 are 2, 7, 167. Prime factorization of 9352 in exponential form is:

9352 = 2³ × 7¹ × 167¹

Step-3: Factors of 9345

List of positive integer factors of 9345 that divides 9345 without a remainder.

1, 3, 5, 7, 15, 21, 35, 89, 105, 267, 445, 623, 1335, 1869, 3115

Step-4: Factors of 9352

List of positive integer factors of 9352 that divides 9345 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 167, 334, 668, 1169, 1336, 2338, 4676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9345 and 9352. The biggest common factor number is the GCF number.
So the greatest common factor 9345 and 9352 is 7.

Also check out the Least Common Multiple of 9345 and 9352