What is the Greatest Common Factor of 39845 and 39864?

Greatest common factor (GCF) of 39845 and 39864 is 1.

GCF(39845,39864) = 1

We will now calculate the prime factors of 39845 and 39864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39845 and 39864.

How to find the GCF of 39845 and 39864?

We will first find the prime factorization of 39845 and 39864. After we will calculate the factors of 39845 and 39864 and find the biggest common factor number .

Step-1: Prime Factorization of 39845

Prime factors of 39845 are 5, 13, 613. Prime factorization of 39845 in exponential form is:

39845 = 5¹ × 13¹ × 613¹

Step-2: Prime Factorization of 39864

Prime factors of 39864 are 2, 3, 11, 151. Prime factorization of 39864 in exponential form is:

39864 = 2³ × 3¹ × 11¹ × 151¹

Step-3: Factors of 39845

List of positive integer factors of 39845 that divides 39845 without a remainder.

1, 5, 13, 65, 613, 3065, 7969

Step-4: Factors of 39864

List of positive integer factors of 39864 that divides 39845 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 151, 264, 302, 453, 604, 906, 1208, 1661, 1812, 3322, 3624, 4983, 6644, 9966, 13288, 19932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39845 and 39864. The biggest common factor number is the GCF number.
So the greatest common factor 39845 and 39864 is 1.

Also check out the Least Common Multiple of 39845 and 39864