What is the Greatest Common Factor of 86072 and 86086?

Greatest common factor (GCF) of 86072 and 86086 is 14.

GCF(86072,86086) = 14

We will now calculate the prime factors of 86072 and 86086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86072 and 86086.

How to find the GCF of 86072 and 86086?

We will first find the prime factorization of 86072 and 86086. After we will calculate the factors of 86072 and 86086 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86086

Prime factors of 86086 are 2, 7, 11, 13, 43. Prime factorization of 86086 in exponential form is:

86086 = 2¹ × 7¹ × 11¹ × 13¹ × 43¹

Step-3: Factors of 86072

List of positive integer factors of 86072 that divides 86072 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

Step-4: Factors of 86086

List of positive integer factors of 86086 that divides 86072 without a remainder.

1, 2, 7, 11, 13, 14, 22, 26, 43, 77, 86, 91, 143, 154, 182, 286, 301, 473, 559, 602, 946, 1001, 1118, 2002, 3311, 3913, 6149, 6622, 7826, 12298, 43043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86072 and 86086. The biggest common factor number is the GCF number.
So the greatest common factor 86072 and 86086 is 14.

Also check out the Least Common Multiple of 86072 and 86086