What is the Greatest Common Factor of 86214 and 86220?

Greatest common factor (GCF) of 86214 and 86220 is 6.

GCF(86214,86220) = 6

We will now calculate the prime factors of 86214 and 86220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86214 and 86220.

How to find the GCF of 86214 and 86220?

We will first find the prime factorization of 86214 and 86220. After we will calculate the factors of 86214 and 86220 and find the biggest common factor number .

Step-1: Prime Factorization of 86214

Prime factors of 86214 are 2, 3, 14369. Prime factorization of 86214 in exponential form is:

86214 = 2¹ × 3¹ × 14369¹

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 86214

List of positive integer factors of 86214 that divides 86214 without a remainder.

1, 2, 3, 6, 14369, 28738, 43107

Step-4: Factors of 86220

List of positive integer factors of 86220 that divides 86214 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 86214 and 86220. The biggest common factor number is the GCF number.
So the greatest common factor 86214 and 86220 is 6.

Also check out the Least Common Multiple of 86214 and 86220