What is the Greatest Common Factor of 36042 and 36048?

Greatest common factor (GCF) of 36042 and 36048 is 6.

GCF(36042,36048) = 6

We will now calculate the prime factors of 36042 and 36048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36042 and 36048.

How to find the GCF of 36042 and 36048?

We will first find the prime factorization of 36042 and 36048. After we will calculate the factors of 36042 and 36048 and find the biggest common factor number .

Step-1: Prime Factorization of 36042

Prime factors of 36042 are 2, 3, 6007. Prime factorization of 36042 in exponential form is:

36042 = 2¹ × 3¹ × 6007¹

Step-2: Prime Factorization of 36048

Prime factors of 36048 are 2, 3, 751. Prime factorization of 36048 in exponential form is:

36048 = 2⁴ × 3¹ × 751¹

Step-3: Factors of 36042

List of positive integer factors of 36042 that divides 36042 without a remainder.

1, 2, 3, 6, 6007, 12014, 18021

Step-4: Factors of 36048

List of positive integer factors of 36048 that divides 36042 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 751, 1502, 2253, 3004, 4506, 6008, 9012, 12016, 18024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36042 and 36048. The biggest common factor number is the GCF number.
So the greatest common factor 36042 and 36048 is 6.

Also check out the Least Common Multiple of 36042 and 36048