What is the Greatest Common Factor of 42800 and 42810?

Greatest common factor (GCF) of 42800 and 42810 is 10.

GCF(42800,42810) = 10

We will now calculate the prime factors of 42800 and 42810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42800 and 42810.

How to find the GCF of 42800 and 42810?

We will first find the prime factorization of 42800 and 42810. After we will calculate the factors of 42800 and 42810 and find the biggest common factor number .

Step-1: Prime Factorization of 42800

Prime factors of 42800 are 2, 5, 107. Prime factorization of 42800 in exponential form is:

42800 = 2⁴ × 5² × 107¹

Step-2: 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-3: Factors of 42800

List of positive integer factors of 42800 that divides 42800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 107, 200, 214, 400, 428, 535, 856, 1070, 1712, 2140, 2675, 4280, 5350, 8560, 10700, 21400

Step-4: Factors of 42810

List of positive integer factors of 42810 that divides 42800 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42800 and 42810. The biggest common factor number is the GCF number.
So the greatest common factor 42800 and 42810 is 10.

Also check out the Least Common Multiple of 42800 and 42810