What is the Greatest Common Factor of 36058 and 36069?

Greatest common factor (GCF) of 36058 and 36069 is 11.

GCF(36058,36069) = 11

We will now calculate the prime factors of 36058 and 36069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36058 and 36069.

How to find the GCF of 36058 and 36069?

We will first find the prime factorization of 36058 and 36069. After we will calculate the factors of 36058 and 36069 and find the biggest common factor number .

Step-1: Prime Factorization of 36058

Prime factors of 36058 are 2, 11, 149. Prime factorization of 36058 in exponential form is:

36058 = 2¹ × 11² × 149¹

Step-2: Prime Factorization of 36069

Prime factors of 36069 are 3, 11, 1093. Prime factorization of 36069 in exponential form is:

36069 = 3¹ × 11¹ × 1093¹

Step-3: Factors of 36058

List of positive integer factors of 36058 that divides 36058 without a remainder.

1, 2, 11, 22, 121, 149, 242, 298, 1639, 3278, 18029

Step-4: Factors of 36069

List of positive integer factors of 36069 that divides 36058 without a remainder.

1, 3, 11, 33, 1093, 3279, 12023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36058 and 36069. The biggest common factor number is the GCF number.
So the greatest common factor 36058 and 36069 is 11.

Also check out the Least Common Multiple of 36058 and 36069