What is the Greatest Common Factor of 36045 and 36054?

Greatest common factor (GCF) of 36045 and 36054 is 9.

GCF(36045,36054) = 9

We will now calculate the prime factors of 36045 and 36054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36045 and 36054.

How to find the GCF of 36045 and 36054?

We will first find the prime factorization of 36045 and 36054. After we will calculate the factors of 36045 and 36054 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 36054

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

36054 = 2¹ × 3² × 2003¹

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 36054

List of positive integer factors of 36054 that divides 36045 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36045 and 36054. The biggest common factor number is the GCF number.
So the greatest common factor 36045 and 36054 is 9.

Also check out the Least Common Multiple of 36045 and 36054