What is the Greatest Common Factor of 39345 and 39354?

Greatest common factor (GCF) of 39345 and 39354 is 3.

GCF(39345,39354) = 3

We will now calculate the prime factors of 39345 and 39354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39345 and 39354.

How to find the GCF of 39345 and 39354?

We will first find the prime factorization of 39345 and 39354. After we will calculate the factors of 39345 and 39354 and find the biggest common factor number .

Step-1: Prime Factorization of 39345

Prime factors of 39345 are 3, 5, 43, 61. Prime factorization of 39345 in exponential form is:

39345 = 3¹ × 5¹ × 43¹ × 61¹

Step-2: Prime Factorization of 39354

Prime factors of 39354 are 2, 3, 7, 937. Prime factorization of 39354 in exponential form is:

39354 = 2¹ × 3¹ × 7¹ × 937¹

Step-3: Factors of 39345

List of positive integer factors of 39345 that divides 39345 without a remainder.

1, 3, 5, 15, 43, 61, 129, 183, 215, 305, 645, 915, 2623, 7869, 13115

Step-4: Factors of 39354

List of positive integer factors of 39354 that divides 39345 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 937, 1874, 2811, 5622, 6559, 13118, 19677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39345 and 39354. The biggest common factor number is the GCF number.
So the greatest common factor 39345 and 39354 is 3.

Also check out the Least Common Multiple of 39345 and 39354