What is the Greatest Common Factor of 42036 and 42044?

Greatest common factor (GCF) of 42036 and 42044 is 4.

GCF(42036,42044) = 4

We will now calculate the prime factors of 42036 and 42044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42036 and 42044.

How to find the GCF of 42036 and 42044?

We will first find the prime factorization of 42036 and 42044. After we will calculate the factors of 42036 and 42044 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 42044

Prime factors of 42044 are 2, 23, 457. Prime factorization of 42044 in exponential form is:

42044 = 2² × 23¹ × 457¹

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 42044

List of positive integer factors of 42044 that divides 42036 without a remainder.

1, 2, 4, 23, 46, 92, 457, 914, 1828, 10511, 21022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42036 and 42044. The biggest common factor number is the GCF number.
So the greatest common factor 42036 and 42044 is 4.

Also check out the Least Common Multiple of 42036 and 42044