What is the Greatest Common Factor of 39905 and 39913?

Greatest common factor (GCF) of 39905 and 39913 is 1.

GCF(39905,39913) = 1

We will now calculate the prime factors of 39905 and 39913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39905 and 39913.

How to find the GCF of 39905 and 39913?

We will first find the prime factorization of 39905 and 39913. After we will calculate the factors of 39905 and 39913 and find the biggest common factor number .

Step-1: Prime Factorization of 39905

Prime factors of 39905 are 5, 23, 347. Prime factorization of 39905 in exponential form is:

39905 = 5¹ × 23¹ × 347¹

Step-2: Prime Factorization of 39913

Prime factors of 39913 are 167, 239. Prime factorization of 39913 in exponential form is:

39913 = 167¹ × 239¹

Step-3: Factors of 39905

List of positive integer factors of 39905 that divides 39905 without a remainder.

1, 5, 23, 115, 347, 1735, 7981

Step-4: Factors of 39913

List of positive integer factors of 39913 that divides 39905 without a remainder.

1, 167, 239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39905 and 39913. The biggest common factor number is the GCF number.
So the greatest common factor 39905 and 39913 is 1.

Also check out the Least Common Multiple of 39905 and 39913