What is the Greatest Common Factor of 39949 and 39959?

Greatest common factor (GCF) of 39949 and 39959 is 1.

GCF(39949,39959) = 1

We will now calculate the prime factors of 39949 and 39959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39949 and 39959.

How to find the GCF of 39949 and 39959?

We will first find the prime factorization of 39949 and 39959. After we will calculate the factors of 39949 and 39959 and find the biggest common factor number .

Step-1: Prime Factorization of 39949

Prime factors of 39949 are 7, 13, 439. Prime factorization of 39949 in exponential form is:

39949 = 7¹ × 13¹ × 439¹

Step-2: Prime Factorization of 39959

Prime factors of 39959 are 31, 1289. Prime factorization of 39959 in exponential form is:

39959 = 31¹ × 1289¹

Step-3: Factors of 39949

List of positive integer factors of 39949 that divides 39949 without a remainder.

1, 7, 13, 91, 439, 3073, 5707

Step-4: Factors of 39959

List of positive integer factors of 39959 that divides 39949 without a remainder.

1, 31, 1289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39949 and 39959. The biggest common factor number is the GCF number.
So the greatest common factor 39949 and 39959 is 1.

Also check out the Least Common Multiple of 39949 and 39959