What is the Greatest Common Factor of 42810 and 42819?

Greatest common factor (GCF) of 42810 and 42819 is 3.

GCF(42810,42819) = 3

We will now calculate the prime factors of 42810 and 42819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42810 and 42819.

How to find the GCF of 42810 and 42819?

We will first find the prime factorization of 42810 and 42819. After we will calculate the factors of 42810 and 42819 and find the biggest common factor number .

Step-1: Prime Factorization of 42810

Prime factors of 42810 are 2, 3, 5, 1427. Prime factorization of 42810 in exponential form is:

42810 = 2¹ × 3¹ × 5¹ × 1427¹

Step-2: Prime Factorization of 42819

Prime factors of 42819 are 3, 7, 2039. Prime factorization of 42819 in exponential form is:

42819 = 3¹ × 7¹ × 2039¹

Step-3: Factors of 42810

List of positive integer factors of 42810 that divides 42810 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1427, 2854, 4281, 7135, 8562, 14270, 21405

Step-4: Factors of 42819

List of positive integer factors of 42819 that divides 42810 without a remainder.

1, 3, 7, 21, 2039, 6117, 14273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42810 and 42819. The biggest common factor number is the GCF number.
So the greatest common factor 42810 and 42819 is 3.

Also check out the Least Common Multiple of 42810 and 42819