What is the Greatest Common Factor of 86052 and 86072?

Greatest common factor (GCF) of 86052 and 86072 is 4.

GCF(86052,86072) = 4

We will now calculate the prime factors of 86052 and 86072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86052 and 86072.

How to find the GCF of 86052 and 86072?

We will first find the prime factorization of 86052 and 86072. After we will calculate the factors of 86052 and 86072 and find the biggest common factor number .

Step-1: Prime Factorization of 86052

Prime factors of 86052 are 2, 3, 71, 101. Prime factorization of 86052 in exponential form is:

86052 = 2² × 3¹ × 71¹ × 101¹

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 86052

List of positive integer factors of 86052 that divides 86052 without a remainder.

1, 2, 3, 4, 6, 12, 71, 101, 142, 202, 213, 284, 303, 404, 426, 606, 852, 1212, 7171, 14342, 21513, 28684, 43026

Step-4: Factors of 86072

List of positive integer factors of 86072 that divides 86052 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 86052 and 86072. The biggest common factor number is the GCF number.
So the greatest common factor 86052 and 86072 is 4.

Also check out the Least Common Multiple of 86052 and 86072