What is the Greatest Common Factor of 86216 and 86220?

Greatest common factor (GCF) of 86216 and 86220 is 4.

GCF(86216,86220) = 4

We will now calculate the prime factors of 86216 and 86220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86216 and 86220.

How to find the GCF of 86216 and 86220?

We will first find the prime factorization of 86216 and 86220. After we will calculate the factors of 86216 and 86220 and find the biggest common factor number .

Step-1: Prime Factorization of 86216

Prime factors of 86216 are 2, 13, 829. Prime factorization of 86216 in exponential form is:

86216 = 2³ × 13¹ × 829¹

Step-2: Prime Factorization of 86220

Prime factors of 86220 are 2, 3, 5, 479. Prime factorization of 86220 in exponential form is:

86220 = 2² × 3² × 5¹ × 479¹

Step-3: Factors of 86216

List of positive integer factors of 86216 that divides 86216 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 829, 1658, 3316, 6632, 10777, 21554, 43108

Step-4: Factors of 86220

List of positive integer factors of 86220 that divides 86216 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 479, 958, 1437, 1916, 2395, 2874, 4311, 4790, 5748, 7185, 8622, 9580, 14370, 17244, 21555, 28740, 43110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86216 and 86220. The biggest common factor number is the GCF number.
So the greatest common factor 86216 and 86220 is 4.

Also check out the Least Common Multiple of 86216 and 86220