What is the Greatest Common Factor of 39360 and 39376?

Greatest common factor (GCF) of 39360 and 39376 is 16.

GCF(39360,39376) = 16

We will now calculate the prime factors of 39360 and 39376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39360 and 39376.

How to find the GCF of 39360 and 39376?

We will first find the prime factorization of 39360 and 39376. After we will calculate the factors of 39360 and 39376 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39376

Prime factors of 39376 are 2, 23, 107. Prime factorization of 39376 in exponential form is:

39376 = 2⁴ × 23¹ × 107¹

Step-3: Factors of 39360

List of positive integer factors of 39360 that divides 39360 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

Step-4: Factors of 39376

List of positive integer factors of 39376 that divides 39360 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 107, 184, 214, 368, 428, 856, 1712, 2461, 4922, 9844, 19688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39360 and 39376. The biggest common factor number is the GCF number.
So the greatest common factor 39360 and 39376 is 16.

Also check out the Least Common Multiple of 39360 and 39376