What is the Greatest Common Factor of 86072 and 86079?

Greatest common factor (GCF) of 86072 and 86079 is 7.

GCF(86072,86079) = 7

We will now calculate the prime factors of 86072 and 86079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86072 and 86079.

How to find the GCF of 86072 and 86079?

We will first find the prime factorization of 86072 and 86079. After we will calculate the factors of 86072 and 86079 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 86079

Prime factors of 86079 are 3, 7, 4099. Prime factorization of 86079 in exponential form is:

86079 = 3¹ × 7¹ × 4099¹

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 86079

List of positive integer factors of 86079 that divides 86072 without a remainder.

1, 3, 7, 21, 4099, 12297, 28693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86072 and 86079. The biggest common factor number is the GCF number.
So the greatest common factor 86072 and 86079 is 7.

Also check out the Least Common Multiple of 86072 and 86079