What is the Greatest Common Factor of 36045 and 36058?

Greatest common factor (GCF) of 36045 and 36058 is 1.

GCF(36045,36058) = 1

We will now calculate the prime factors of 36045 and 36058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36045 and 36058.

How to find the GCF of 36045 and 36058?

We will first find the prime factorization of 36045 and 36058. After we will calculate the factors of 36045 and 36058 and find the biggest common factor number .

Step-1: Prime Factorization of 36045

Prime factors of 36045 are 3, 5, 89. Prime factorization of 36045 in exponential form is:

36045 = 3⁴ × 5¹ × 89¹

Step-2: 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-3: Factors of 36045

List of positive integer factors of 36045 that divides 36045 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 89, 135, 267, 405, 445, 801, 1335, 2403, 4005, 7209, 12015

Step-4: Factors of 36058

List of positive integer factors of 36058 that divides 36045 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36045 and 36058. The biggest common factor number is the GCF number.
So the greatest common factor 36045 and 36058 is 1.

Also check out the Least Common Multiple of 36045 and 36058