What is the Greatest Common Factor of 36054 and 36060?

Greatest common factor (GCF) of 36054 and 36060 is 6.

GCF(36054,36060) = 6

We will now calculate the prime factors of 36054 and 36060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36054 and 36060.

How to find the GCF of 36054 and 36060?

We will first find the prime factorization of 36054 and 36060. After we will calculate the factors of 36054 and 36060 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 36060

Prime factors of 36060 are 2, 3, 5, 601. Prime factorization of 36060 in exponential form is:

36060 = 2² × 3¹ × 5¹ × 601¹

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 36060

List of positive integer factors of 36060 that divides 36054 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 601, 1202, 1803, 2404, 3005, 3606, 6010, 7212, 9015, 12020, 18030

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36054 and 36060. The biggest common factor number is the GCF number.
So the greatest common factor 36054 and 36060 is 6.

Also check out the Least Common Multiple of 36054 and 36060