What is the Greatest Common Factor of 86058 and 86072?

Greatest common factor (GCF) of 86058 and 86072 is 14.

GCF(86058,86072) = 14

We will now calculate the prime factors of 86058 and 86072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86058 and 86072.

How to find the GCF of 86058 and 86072?

We will first find the prime factorization of 86058 and 86072. After we will calculate the factors of 86058 and 86072 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 86072

Prime factors of 86072 are 2, 7, 29, 53. Prime factorization of 86072 in exponential form is:

86072 = 2³ × 7¹ × 29¹ × 53¹

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 86072

List of positive integer factors of 86072 that divides 86058 without a remainder.

1, 2, 4, 7, 8, 14, 28, 29, 53, 56, 58, 106, 116, 203, 212, 232, 371, 406, 424, 742, 812, 1484, 1537, 1624, 2968, 3074, 6148, 10759, 12296, 21518, 43036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86058 and 86072. The biggest common factor number is the GCF number.
So the greatest common factor 86058 and 86072 is 14.

Also check out the Least Common Multiple of 86058 and 86072