What is the Greatest Common Factor of 9036 and 9042?

Greatest common factor (GCF) of 9036 and 9042 is 6.

GCF(9036,9042) = 6

We will now calculate the prime factors of 9036 and 9042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9036 and 9042.

How to find the GCF of 9036 and 9042?

We will first find the prime factorization of 9036 and 9042. After we will calculate the factors of 9036 and 9042 and find the biggest common factor number .

Step-1: Prime Factorization of 9036

Prime factors of 9036 are 2, 3, 251. Prime factorization of 9036 in exponential form is:

9036 = 2² × 3² × 251¹

Step-2: Prime Factorization of 9042

Prime factors of 9042 are 2, 3, 11, 137. Prime factorization of 9042 in exponential form is:

9042 = 2¹ × 3¹ × 11¹ × 137¹

Step-3: Factors of 9036

List of positive integer factors of 9036 that divides 9036 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 251, 502, 753, 1004, 1506, 2259, 3012, 4518

Step-4: Factors of 9042

List of positive integer factors of 9042 that divides 9036 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 137, 274, 411, 822, 1507, 3014, 4521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9036 and 9042. The biggest common factor number is the GCF number.
So the greatest common factor 9036 and 9042 is 6.

Also check out the Least Common Multiple of 9036 and 9042