What is the Greatest Common Factor of 86058 and 86076?

Greatest common factor (GCF) of 86058 and 86076 is 18.

GCF(86058,86076) = 18

We will now calculate the prime factors of 86058 and 86076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86058 and 86076.

How to find the GCF of 86058 and 86076?

We will first find the prime factorization of 86058 and 86076. After we will calculate the factors of 86058 and 86076 and find the biggest common factor number .

Step-1: Prime Factorization of 86058

Prime factors of 86058 are 2, 3, 7, 683. Prime factorization of 86058 in exponential form is:

86058 = 2¹ × 3² × 7¹ × 683¹

Step-2: Prime Factorization of 86076

Prime factors of 86076 are 2, 3, 797. Prime factorization of 86076 in exponential form is:

86076 = 2² × 3³ × 797¹

Step-3: Factors of 86058

List of positive integer factors of 86058 that divides 86058 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 683, 1366, 2049, 4098, 4781, 6147, 9562, 12294, 14343, 28686, 43029

Step-4: Factors of 86076

List of positive integer factors of 86076 that divides 86058 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 797, 1594, 2391, 3188, 4782, 7173, 9564, 14346, 21519, 28692, 43038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86058 and 86076. The biggest common factor number is the GCF number.
So the greatest common factor 86058 and 86076 is 18.

Also check out the Least Common Multiple of 86058 and 86076