What is the Greatest Common Factor of 83030 and 83042?

Greatest common factor (GCF) of 83030 and 83042 is 2.

GCF(83030,83042) = 2

We will now calculate the prime factors of 83030 and 83042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83030 and 83042.

How to find the GCF of 83030 and 83042?

We will first find the prime factorization of 83030 and 83042. After we will calculate the factors of 83030 and 83042 and find the biggest common factor number .

Step-1: Prime Factorization of 83030

Prime factors of 83030 are 2, 5, 19, 23. Prime factorization of 83030 in exponential form is:

83030 = 2¹ × 5¹ × 19² × 23¹

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 83030

List of positive integer factors of 83030 that divides 83030 without a remainder.

1, 2, 5, 10, 19, 23, 38, 46, 95, 115, 190, 230, 361, 437, 722, 874, 1805, 2185, 3610, 4370, 8303, 16606, 41515

Step-4: Factors of 83042

List of positive integer factors of 83042 that divides 83030 without a remainder.

1, 2, 41521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83030 and 83042. The biggest common factor number is the GCF number.
So the greatest common factor 83030 and 83042 is 2.

Also check out the Least Common Multiple of 83030 and 83042