What is the Greatest Common Factor of 39354 and 39360?

Greatest common factor (GCF) of 39354 and 39360 is 6.

GCF(39354,39360) = 6

We will now calculate the prime factors of 39354 and 39360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39354 and 39360.

How to find the GCF of 39354 and 39360?

We will first find the prime factorization of 39354 and 39360. After we will calculate the factors of 39354 and 39360 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39360

Prime factors of 39360 are 2, 3, 5, 41. Prime factorization of 39360 in exponential form is:

39360 = 2⁶ × 3¹ × 5¹ × 41¹

Step-3: Factors of 39354

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

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

Step-4: Factors of 39360

List of positive integer factors of 39360 that divides 39354 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 41, 48, 60, 64, 80, 82, 96, 120, 123, 160, 164, 192, 205, 240, 246, 320, 328, 410, 480, 492, 615, 656, 820, 960, 984, 1230, 1312, 1640, 1968, 2460, 2624, 3280, 3936, 4920, 6560, 7872, 9840, 13120, 19680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39354 and 39360. The biggest common factor number is the GCF number.
So the greatest common factor 39354 and 39360 is 6.

Also check out the Least Common Multiple of 39354 and 39360