What is the Greatest Common Factor of 86835 and 86853?

Greatest common factor (GCF) of 86835 and 86853 is 3.

GCF(86835,86853) = 3

We will now calculate the prime factors of 86835 and 86853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86835 and 86853.

How to find the GCF of 86835 and 86853?

We will first find the prime factorization of 86835 and 86853. After we will calculate the factors of 86835 and 86853 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 86853

Prime factors of 86853 are 3, 13, 17, 131. Prime factorization of 86853 in exponential form is:

86853 = 3¹ × 13¹ × 17¹ × 131¹

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 86853

List of positive integer factors of 86853 that divides 86835 without a remainder.

1, 3, 13, 17, 39, 51, 131, 221, 393, 663, 1703, 2227, 5109, 6681, 28951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86835 and 86853. The biggest common factor number is the GCF number.
So the greatest common factor 86835 and 86853 is 3.

Also check out the Least Common Multiple of 86835 and 86853