What is the Greatest Common Factor of 86072 and 86078?

Greatest common factor (GCF) of 86072 and 86078 is 2.

GCF(86072,86078) = 2

We will now calculate the prime factors of 86072 and 86078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86072 and 86078.

How to find the GCF of 86072 and 86078?

We will first find the prime factorization of 86072 and 86078. After we will calculate the factors of 86072 and 86078 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 86078

Prime factors of 86078 are 2, 193, 223. Prime factorization of 86078 in exponential form is:

86078 = 2¹ × 193¹ × 223¹

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 86078

List of positive integer factors of 86078 that divides 86072 without a remainder.

1, 2, 193, 223, 386, 446, 43039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86072 and 86078. The biggest common factor number is the GCF number.
So the greatest common factor 86072 and 86078 is 2.

Also check out the Least Common Multiple of 86072 and 86078