What is the Greatest Common Factor of 36058 and 36077?

Greatest common factor (GCF) of 36058 and 36077 is 1.

GCF(36058,36077) = 1

We will now calculate the prime factors of 36058 and 36077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36058 and 36077.

How to find the GCF of 36058 and 36077?

We will first find the prime factorization of 36058 and 36077. After we will calculate the factors of 36058 and 36077 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 36077

Prime factors of 36077 are 43, 839. Prime factorization of 36077 in exponential form is:

36077 = 43¹ × 839¹

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 36077

List of positive integer factors of 36077 that divides 36058 without a remainder.

1, 43, 839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36058 and 36077. The biggest common factor number is the GCF number.
So the greatest common factor 36058 and 36077 is 1.

Also check out the Least Common Multiple of 36058 and 36077