What is the Greatest Common Factor of 86142 and 86162?

Greatest common factor (GCF) of 86142 and 86162 is 2.

GCF(86142,86162) = 2

We will now calculate the prime factors of 86142 and 86162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86142 and 86162.

How to find the GCF of 86142 and 86162?

We will first find the prime factorization of 86142 and 86162. After we will calculate the factors of 86142 and 86162 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 86162

Prime factors of 86162 are 2, 67, 643. Prime factorization of 86162 in exponential form is:

86162 = 2¹ × 67¹ × 643¹

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 86162

List of positive integer factors of 86162 that divides 86142 without a remainder.

1, 2, 67, 134, 643, 1286, 43081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86142 and 86162. The biggest common factor number is the GCF number.
So the greatest common factor 86142 and 86162 is 2.

Also check out the Least Common Multiple of 86142 and 86162