What is the Greatest Common Factor of 86128 and 86142?

Greatest common factor (GCF) of 86128 and 86142 is 14.

GCF(86128,86142) = 14

We will now calculate the prime factors of 86128 and 86142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86128 and 86142.

How to find the GCF of 86128 and 86142?

We will first find the prime factorization of 86128 and 86142. After we will calculate the factors of 86128 and 86142 and find the biggest common factor number .

Step-1: Prime Factorization of 86128

Prime factors of 86128 are 2, 7, 769. Prime factorization of 86128 in exponential form is:

86128 = 2⁴ × 7¹ × 769¹

Step-2: 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-3: Factors of 86128

List of positive integer factors of 86128 that divides 86128 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 769, 1538, 3076, 5383, 6152, 10766, 12304, 21532, 43064

Step-4: Factors of 86142

List of positive integer factors of 86142 that divides 86128 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86128 and 86142. The biggest common factor number is the GCF number.
So the greatest common factor 86128 and 86142 is 14.

Also check out the Least Common Multiple of 86128 and 86142