What is the Greatest Common Factor of 86142 and 86156?

Greatest common factor (GCF) of 86142 and 86156 is 14.

GCF(86142,86156) = 14

We will now calculate the prime factors of 86142 and 86156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86142 and 86156.

How to find the GCF of 86142 and 86156?

We will first find the prime factorization of 86142 and 86156. After we will calculate the factors of 86142 and 86156 and find the biggest common factor number .

Step-1: Prime Factorization of 86142

Prime factors of 86142 are 2, 3, 7, 293. Prime factorization of 86142 in exponential form is:

86142 = 2¹ × 3¹ × 7² × 293¹

Step-2: Prime Factorization of 86156

Prime factors of 86156 are 2, 7, 17, 181. Prime factorization of 86156 in exponential form is:

86156 = 2² × 7¹ × 17¹ × 181¹

Step-3: Factors of 86142

List of positive integer factors of 86142 that divides 86142 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 293, 294, 586, 879, 1758, 2051, 4102, 6153, 12306, 14357, 28714, 43071

Step-4: Factors of 86156

List of positive integer factors of 86156 that divides 86142 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 181, 238, 362, 476, 724, 1267, 2534, 3077, 5068, 6154, 12308, 21539, 43078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86142 and 86156. The biggest common factor number is the GCF number.
So the greatest common factor 86142 and 86156 is 14.

Also check out the Least Common Multiple of 86142 and 86156