What is the Greatest Common Factor of 42806 and 42824?

Greatest common factor (GCF) of 42806 and 42824 is 2.

GCF(42806,42824) = 2

We will now calculate the prime factors of 42806 and 42824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42806 and 42824.

How to find the GCF of 42806 and 42824?

We will first find the prime factorization of 42806 and 42824. After we will calculate the factors of 42806 and 42824 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42824

Prime factors of 42824 are 2, 53, 101. Prime factorization of 42824 in exponential form is:

42824 = 2³ × 53¹ × 101¹

Step-3: Factors of 42806

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

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

Step-4: Factors of 42824

List of positive integer factors of 42824 that divides 42806 without a remainder.

1, 2, 4, 8, 53, 101, 106, 202, 212, 404, 424, 808, 5353, 10706, 21412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42806 and 42824. The biggest common factor number is the GCF number.
So the greatest common factor 42806 and 42824 is 2.

Also check out the Least Common Multiple of 42806 and 42824