What is the Greatest Common Factor of 45036 and 45042?

Greatest common factor (GCF) of 45036 and 45042 is 6.

GCF(45036,45042) = 6

We will now calculate the prime factors of 45036 and 45042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45036 and 45042.

How to find the GCF of 45036 and 45042?

We will first find the prime factorization of 45036 and 45042. After we will calculate the factors of 45036 and 45042 and find the biggest common factor number .

Step-1: Prime Factorization of 45036

Prime factors of 45036 are 2, 3, 139. Prime factorization of 45036 in exponential form is:

45036 = 2² × 3⁴ × 139¹

Step-2: Prime Factorization of 45042

Prime factors of 45042 are 2, 3, 7507. Prime factorization of 45042 in exponential form is:

45042 = 2¹ × 3¹ × 7507¹

Step-3: Factors of 45036

List of positive integer factors of 45036 that divides 45036 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 139, 162, 278, 324, 417, 556, 834, 1251, 1668, 2502, 3753, 5004, 7506, 11259, 15012, 22518

Step-4: Factors of 45042

List of positive integer factors of 45042 that divides 45036 without a remainder.

1, 2, 3, 6, 7507, 15014, 22521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45036 and 45042. The biggest common factor number is the GCF number.
So the greatest common factor 45036 and 45042 is 6.

Also check out the Least Common Multiple of 45036 and 45042