What is the Greatest Common Factor of 39349 and 39360?

Greatest common factor (GCF) of 39349 and 39360 is 1.

GCF(39349,39360) = 1

We will now calculate the prime factors of 39349 and 39360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39349 and 39360.

How to find the GCF of 39349 and 39360?

We will first find the prime factorization of 39349 and 39360. After we will calculate the factors of 39349 and 39360 and find the biggest common factor number .

Step-1: Prime Factorization of 39349

Prime factors of 39349 are 19, 109. Prime factorization of 39349 in exponential form is:

39349 = 19² × 109¹

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 39349

List of positive integer factors of 39349 that divides 39349 without a remainder.

1, 19, 109, 361, 2071

Step-4: Factors of 39360

List of positive integer factors of 39360 that divides 39349 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 39349 and 39360. The biggest common factor number is the GCF number.
So the greatest common factor 39349 and 39360 is 1.

Also check out the Least Common Multiple of 39349 and 39360