What is the Greatest Common Factor of 42800 and 42806?

Greatest common factor (GCF) of 42800 and 42806 is 2.

GCF(42800,42806) = 2

We will now calculate the prime factors of 42800 and 42806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42800 and 42806.

How to find the GCF of 42800 and 42806?

We will first find the prime factorization of 42800 and 42806. After we will calculate the factors of 42800 and 42806 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 42806

Prime factors of 42806 are 2, 17, 1259. Prime factorization of 42806 in exponential form is:

42806 = 2¹ × 17¹ × 1259¹

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 42806

List of positive integer factors of 42806 that divides 42800 without a remainder.

1, 2, 17, 34, 1259, 2518, 21403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42800 and 42806. The biggest common factor number is the GCF number.
So the greatest common factor 42800 and 42806 is 2.

Also check out the Least Common Multiple of 42800 and 42806