What is the Greatest Common Factor of 83036 and 83042?

Greatest common factor (GCF) of 83036 and 83042 is 2.

GCF(83036,83042) = 2

We will now calculate the prime factors of 83036 and 83042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83036 and 83042.

How to find the GCF of 83036 and 83042?

We will first find the prime factorization of 83036 and 83042. After we will calculate the factors of 83036 and 83042 and find the biggest common factor number .

Step-1: Prime Factorization of 83036

Prime factors of 83036 are 2, 20759. Prime factorization of 83036 in exponential form is:

83036 = 2² × 20759¹

Step-2: Prime Factorization of 83042

Prime factors of 83042 are 2, 41521. Prime factorization of 83042 in exponential form is:

83042 = 2¹ × 41521¹

Step-3: Factors of 83036

List of positive integer factors of 83036 that divides 83036 without a remainder.

1, 2, 4, 20759, 41518

Step-4: Factors of 83042

List of positive integer factors of 83042 that divides 83036 without a remainder.

1, 2, 41521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83036 and 83042. The biggest common factor number is the GCF number.
So the greatest common factor 83036 and 83042 is 2.

Also check out the Least Common Multiple of 83036 and 83042