What is the Greatest Common Factor of 42836 and 42846?

Greatest common factor (GCF) of 42836 and 42846 is 2.

GCF(42836,42846) = 2

We will now calculate the prime factors of 42836 and 42846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42836 and 42846.

How to find the GCF of 42836 and 42846?

We will first find the prime factorization of 42836 and 42846. After we will calculate the factors of 42836 and 42846 and find the biggest common factor number .

Step-1: Prime Factorization of 42836

Prime factors of 42836 are 2, 10709. Prime factorization of 42836 in exponential form is:

42836 = 2² × 10709¹

Step-2: Prime Factorization of 42846

Prime factors of 42846 are 2, 3, 37, 193. Prime factorization of 42846 in exponential form is:

42846 = 2¹ × 3¹ × 37¹ × 193¹

Step-3: Factors of 42836

List of positive integer factors of 42836 that divides 42836 without a remainder.

1, 2, 4, 10709, 21418

Step-4: Factors of 42846

List of positive integer factors of 42846 that divides 42836 without a remainder.

1, 2, 3, 6, 37, 74, 111, 193, 222, 386, 579, 1158, 7141, 14282, 21423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42836 and 42846. The biggest common factor number is the GCF number.
So the greatest common factor 42836 and 42846 is 2.

Also check out the Least Common Multiple of 42836 and 42846