What is the Greatest Common Factor of 39340 and 39360?

Greatest common factor (GCF) of 39340 and 39360 is 20.

GCF(39340,39360) = 20

We will now calculate the prime factors of 39340 and 39360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39340 and 39360.

How to find the GCF of 39340 and 39360?

We will first find the prime factorization of 39340 and 39360. After we will calculate the factors of 39340 and 39360 and find the biggest common factor number .

Step-1: Prime Factorization of 39340

Prime factors of 39340 are 2, 5, 7, 281. Prime factorization of 39340 in exponential form is:

39340 = 2² × 5¹ × 7¹ × 281¹

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 39340

List of positive integer factors of 39340 that divides 39340 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 281, 562, 1124, 1405, 1967, 2810, 3934, 5620, 7868, 9835, 19670

Step-4: Factors of 39360

List of positive integer factors of 39360 that divides 39340 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 39340 and 39360. The biggest common factor number is the GCF number.
So the greatest common factor 39340 and 39360 is 20.

Also check out the Least Common Multiple of 39340 and 39360