What is the Greatest Common Factor of 86042 and 86053?

Greatest common factor (GCF) of 86042 and 86053 is 11.

GCF(86042,86053) = 11

We will now calculate the prime factors of 86042 and 86053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86042 and 86053.

How to find the GCF of 86042 and 86053?

We will first find the prime factorization of 86042 and 86053. After we will calculate the factors of 86042 and 86053 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86053

Prime factors of 86053 are 11, 7823. Prime factorization of 86053 in exponential form is:

86053 = 11¹ × 7823¹

Step-3: Factors of 86042

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

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

Step-4: Factors of 86053

List of positive integer factors of 86053 that divides 86042 without a remainder.

1, 11, 7823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86042 and 86053. The biggest common factor number is the GCF number.
So the greatest common factor 86042 and 86053 is 11.

Also check out the Least Common Multiple of 86042 and 86053