What is the Greatest Common Factor of 36060 and 36069?

Greatest common factor (GCF) of 36060 and 36069 is 3.

GCF(36060,36069) = 3

We will now calculate the prime factors of 36060 and 36069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36060 and 36069.

How to find the GCF of 36060 and 36069?

We will first find the prime factorization of 36060 and 36069. After we will calculate the factors of 36060 and 36069 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36069

Prime factors of 36069 are 3, 11, 1093. Prime factorization of 36069 in exponential form is:

36069 = 3¹ × 11¹ × 1093¹

Step-3: Factors of 36060

List of positive integer factors of 36060 that divides 36060 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

Step-4: Factors of 36069

List of positive integer factors of 36069 that divides 36060 without a remainder.

1, 3, 11, 33, 1093, 3279, 12023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36060 and 36069. The biggest common factor number is the GCF number.
So the greatest common factor 36060 and 36069 is 3.

Also check out the Least Common Multiple of 36060 and 36069