What is the Greatest Common Factor of 42036 and 42045?

Greatest common factor (GCF) of 42036 and 42045 is 3.

GCF(42036,42045) = 3

We will now calculate the prime factors of 42036 and 42045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42036 and 42045.

How to find the GCF of 42036 and 42045?

We will first find the prime factorization of 42036 and 42045. After we will calculate the factors of 42036 and 42045 and find the biggest common factor number .

Step-1: Prime Factorization of 42036

Prime factors of 42036 are 2, 3, 31, 113. Prime factorization of 42036 in exponential form is:

42036 = 2² × 3¹ × 31¹ × 113¹

Step-2: Prime Factorization of 42045

Prime factors of 42045 are 3, 5, 2803. Prime factorization of 42045 in exponential form is:

42045 = 3¹ × 5¹ × 2803¹

Step-3: Factors of 42036

List of positive integer factors of 42036 that divides 42036 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 113, 124, 186, 226, 339, 372, 452, 678, 1356, 3503, 7006, 10509, 14012, 21018

Step-4: Factors of 42045

List of positive integer factors of 42045 that divides 42036 without a remainder.

1, 3, 5, 15, 2803, 8409, 14015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42036 and 42045. The biggest common factor number is the GCF number.
So the greatest common factor 42036 and 42045 is 3.

Also check out the Least Common Multiple of 42036 and 42045