What is the Greatest Common Factor of 39855 and 39869?

Greatest common factor (GCF) of 39855 and 39869 is 1.

GCF(39855,39869) = 1

We will now calculate the prime factors of 39855 and 39869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39855 and 39869.

How to find the GCF of 39855 and 39869?

We will first find the prime factorization of 39855 and 39869. After we will calculate the factors of 39855 and 39869 and find the biggest common factor number .

Step-1: Prime Factorization of 39855

Prime factors of 39855 are 3, 5, 2657. Prime factorization of 39855 in exponential form is:

39855 = 3¹ × 5¹ × 2657¹

Step-2: Prime Factorization of 39869

Prime factors of 39869 are 39869. Prime factorization of 39869 in exponential form is:

39869 = 39869¹

Step-3: Factors of 39855

List of positive integer factors of 39855 that divides 39855 without a remainder.

1, 3, 5, 15, 2657, 7971, 13285

Step-4: Factors of 39869

List of positive integer factors of 39869 that divides 39855 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39855 and 39869. The biggest common factor number is the GCF number.
So the greatest common factor 39855 and 39869 is 1.

Also check out the Least Common Multiple of 39855 and 39869