What is the Greatest Common Factor of 86835 and 86842?

Greatest common factor (GCF) of 86835 and 86842 is 7.

GCF(86835,86842) = 7

We will now calculate the prime factors of 86835 and 86842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86835 and 86842.

How to find the GCF of 86835 and 86842?

We will first find the prime factorization of 86835 and 86842. After we will calculate the factors of 86835 and 86842 and find the biggest common factor number .

Step-1: Prime Factorization of 86835

Prime factors of 86835 are 3, 5, 7, 827. Prime factorization of 86835 in exponential form is:

86835 = 3¹ × 5¹ × 7¹ × 827¹

Step-2: Prime Factorization of 86842

Prime factors of 86842 are 2, 7, 6203. Prime factorization of 86842 in exponential form is:

86842 = 2¹ × 7¹ × 6203¹

Step-3: Factors of 86835

List of positive integer factors of 86835 that divides 86835 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 827, 2481, 4135, 5789, 12405, 17367, 28945

Step-4: Factors of 86842

List of positive integer factors of 86842 that divides 86835 without a remainder.

1, 2, 7, 14, 6203, 12406, 43421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86835 and 86842. The biggest common factor number is the GCF number.
So the greatest common factor 86835 and 86842 is 7.

Also check out the Least Common Multiple of 86835 and 86842