What is the Greatest Common Factor of 42788 and 42804?

Greatest common factor (GCF) of 42788 and 42804 is 4.

GCF(42788,42804) = 4

We will now calculate the prime factors of 42788 and 42804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42788 and 42804.

How to find the GCF of 42788 and 42804?

We will first find the prime factorization of 42788 and 42804. After we will calculate the factors of 42788 and 42804 and find the biggest common factor number .

Step-1: Prime Factorization of 42788

Prime factors of 42788 are 2, 19, 563. Prime factorization of 42788 in exponential form is:

42788 = 2² × 19¹ × 563¹

Step-2: Prime Factorization of 42804

Prime factors of 42804 are 2, 3, 29, 41. Prime factorization of 42804 in exponential form is:

42804 = 2² × 3² × 29¹ × 41¹

Step-3: Factors of 42788

List of positive integer factors of 42788 that divides 42788 without a remainder.

1, 2, 4, 19, 38, 76, 563, 1126, 2252, 10697, 21394

Step-4: Factors of 42804

List of positive integer factors of 42804 that divides 42788 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 41, 58, 82, 87, 116, 123, 164, 174, 246, 261, 348, 369, 492, 522, 738, 1044, 1189, 1476, 2378, 3567, 4756, 7134, 10701, 14268, 21402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42788 and 42804. The biggest common factor number is the GCF number.
So the greatest common factor 42788 and 42804 is 4.

Also check out the Least Common Multiple of 42788 and 42804