What is the Greatest Common Factor of 36058 and 36075?

Greatest common factor (GCF) of 36058 and 36075 is 1.

GCF(36058,36075) = 1

We will now calculate the prime factors of 36058 and 36075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36058 and 36075.

How to find the GCF of 36058 and 36075?

We will first find the prime factorization of 36058 and 36075. After we will calculate the factors of 36058 and 36075 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 36075

Prime factors of 36075 are 3, 5, 13, 37. Prime factorization of 36075 in exponential form is:

36075 = 3¹ × 5² × 13¹ × 37¹

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 36075

List of positive integer factors of 36075 that divides 36058 without a remainder.

1, 3, 5, 13, 15, 25, 37, 39, 65, 75, 111, 185, 195, 325, 481, 555, 925, 975, 1443, 2405, 2775, 7215, 12025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36058 and 36075. The biggest common factor number is the GCF number.
So the greatest common factor 36058 and 36075 is 1.

Also check out the Least Common Multiple of 36058 and 36075