What is the Greatest Common Factor of 86220 and 86232?

Greatest common factor (GCF) of 86220 and 86232 is 12.

GCF(86220,86232) = 12

We will now calculate the prime factors of 86220 and 86232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86220 and 86232.

How to find the GCF of 86220 and 86232?

We will first find the prime factorization of 86220 and 86232. After we will calculate the factors of 86220 and 86232 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86232

Prime factors of 86232 are 2, 3, 3593. Prime factorization of 86232 in exponential form is:

86232 = 2³ × 3¹ × 3593¹

Step-3: Factors of 86220

List of positive integer factors of 86220 that divides 86220 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

Step-4: Factors of 86232

List of positive integer factors of 86232 that divides 86220 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3593, 7186, 10779, 14372, 21558, 28744, 43116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86220 and 86232. The biggest common factor number is the GCF number.
So the greatest common factor 86220 and 86232 is 12.

Also check out the Least Common Multiple of 86220 and 86232