What is the Greatest Common Factor of 39360 and 39370?

Greatest common factor (GCF) of 39360 and 39370 is 10.

GCF(39360,39370) = 10

We will now calculate the prime factors of 39360 and 39370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39360 and 39370.

How to find the GCF of 39360 and 39370?

We will first find the prime factorization of 39360 and 39370. After we will calculate the factors of 39360 and 39370 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 39370

Prime factors of 39370 are 2, 5, 31, 127. Prime factorization of 39370 in exponential form is:

39370 = 2¹ × 5¹ × 31¹ × 127¹

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 39370

List of positive integer factors of 39370 that divides 39360 without a remainder.

1, 2, 5, 10, 31, 62, 127, 155, 254, 310, 635, 1270, 3937, 7874, 19685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39360 and 39370. The biggest common factor number is the GCF number.
So the greatest common factor 39360 and 39370 is 10.

Also check out the Least Common Multiple of 39360 and 39370