What is the Greatest Common Factor of 86038 and 86042?

Greatest common factor (GCF) of 86038 and 86042 is 2.

GCF(86038,86042) = 2

We will now calculate the prime factors of 86038 and 86042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86038 and 86042.

How to find the GCF of 86038 and 86042?

We will first find the prime factorization of 86038 and 86042. After we will calculate the factors of 86038 and 86042 and find the biggest common factor number .

Step-1: Prime Factorization of 86038

Prime factors of 86038 are 2, 43019. Prime factorization of 86038 in exponential form is:

86038 = 2¹ × 43019¹

Step-2: Prime Factorization of 86042

Prime factors of 86042 are 2, 11, 3911. Prime factorization of 86042 in exponential form is:

86042 = 2¹ × 11¹ × 3911¹

Step-3: Factors of 86038

List of positive integer factors of 86038 that divides 86038 without a remainder.

1, 2, 43019

Step-4: Factors of 86042

List of positive integer factors of 86042 that divides 86038 without a remainder.

1, 2, 11, 22, 3911, 7822, 43021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86038 and 86042. The biggest common factor number is the GCF number.
So the greatest common factor 86038 and 86042 is 2.

Also check out the Least Common Multiple of 86038 and 86042