What is the Greatest Common Factor of 42075 and 42087?

Greatest common factor (GCF) of 42075 and 42087 is 3.

GCF(42075,42087) = 3

We will now calculate the prime factors of 42075 and 42087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42075 and 42087.

How to find the GCF of 42075 and 42087?

We will first find the prime factorization of 42075 and 42087. After we will calculate the factors of 42075 and 42087 and find the biggest common factor number .

Step-1: Prime Factorization of 42075

Prime factors of 42075 are 3, 5, 11, 17. Prime factorization of 42075 in exponential form is:

42075 = 3² × 5² × 11¹ × 17¹

Step-2: Prime Factorization of 42087

Prime factors of 42087 are 3, 14029. Prime factorization of 42087 in exponential form is:

42087 = 3¹ × 14029¹

Step-3: Factors of 42075

List of positive integer factors of 42075 that divides 42075 without a remainder.

1, 3, 5, 9, 11, 15, 17, 25, 33, 45, 51, 55, 75, 85, 99, 153, 165, 187, 225, 255, 275, 425, 495, 561, 765, 825, 935, 1275, 1683, 2475, 2805, 3825, 4675, 8415, 14025

Step-4: Factors of 42087

List of positive integer factors of 42087 that divides 42075 without a remainder.

1, 3, 14029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42075 and 42087. The biggest common factor number is the GCF number.
So the greatest common factor 42075 and 42087 is 3.

Also check out the Least Common Multiple of 42075 and 42087