What is the Greatest Common Factor of 36054 and 36061?

Greatest common factor (GCF) of 36054 and 36061 is 1.

GCF(36054,36061) = 1

We will now calculate the prime factors of 36054 and 36061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36054 and 36061.

How to find the GCF of 36054 and 36061?

We will first find the prime factorization of 36054 and 36061. After we will calculate the factors of 36054 and 36061 and find the biggest common factor number .

Step-1: Prime Factorization of 36054

Prime factors of 36054 are 2, 3, 2003. Prime factorization of 36054 in exponential form is:

36054 = 2¹ × 3² × 2003¹

Step-2: Prime Factorization of 36061

Prime factors of 36061 are 36061. Prime factorization of 36061 in exponential form is:

36061 = 36061¹

Step-3: Factors of 36054

List of positive integer factors of 36054 that divides 36054 without a remainder.

1, 2, 3, 6, 9, 18, 2003, 4006, 6009, 12018, 18027

Step-4: Factors of 36061

List of positive integer factors of 36061 that divides 36054 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36054 and 36061. The biggest common factor number is the GCF number.
So the greatest common factor 36054 and 36061 is 1.

Also check out the Least Common Multiple of 36054 and 36061