What is the Greatest Common Factor of 39029 and 39036?

Greatest common factor (GCF) of 39029 and 39036 is 1.

GCF(39029,39036) = 1

We will now calculate the prime factors of 39029 and 39036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39029 and 39036.

How to find the GCF of 39029 and 39036?

We will first find the prime factorization of 39029 and 39036. After we will calculate the factors of 39029 and 39036 and find the biggest common factor number .

Step-1: Prime Factorization of 39029

Prime factors of 39029 are 31, 1259. Prime factorization of 39029 in exponential form is:

39029 = 31¹ × 1259¹

Step-2: Prime Factorization of 39036

Prime factors of 39036 are 2, 3, 3253. Prime factorization of 39036 in exponential form is:

39036 = 2² × 3¹ × 3253¹

Step-3: Factors of 39029

List of positive integer factors of 39029 that divides 39029 without a remainder.

1, 31, 1259

Step-4: Factors of 39036

List of positive integer factors of 39036 that divides 39029 without a remainder.

1, 2, 3, 4, 6, 12, 3253, 6506, 9759, 13012, 19518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39029 and 39036. The biggest common factor number is the GCF number.
So the greatest common factor 39029 and 39036 is 1.

Also check out the Least Common Multiple of 39029 and 39036