What is the Greatest Common Factor of 7080 and 7086?

Greatest common factor (GCF) of 7080 and 7086 is 6.

GCF(7080,7086) = 6

We will now calculate the prime factors of 7080 and 7086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7080 and 7086.

How to find the GCF of 7080 and 7086?

We will first find the prime factorization of 7080 and 7086. After we will calculate the factors of 7080 and 7086 and find the biggest common factor number .

Step-1: Prime Factorization of 7080

Prime factors of 7080 are 2, 3, 5, 59. Prime factorization of 7080 in exponential form is:

7080 = 2³ × 3¹ × 5¹ × 59¹

Step-2: Prime Factorization of 7086

Prime factors of 7086 are 2, 3, 1181. Prime factorization of 7086 in exponential form is:

7086 = 2¹ × 3¹ × 1181¹

Step-3: Factors of 7080

List of positive integer factors of 7080 that divides 7080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 59, 60, 118, 120, 177, 236, 295, 354, 472, 590, 708, 885, 1180, 1416, 1770, 2360, 3540

Step-4: Factors of 7086

List of positive integer factors of 7086 that divides 7080 without a remainder.

1, 2, 3, 6, 1181, 2362, 3543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7080 and 7086. The biggest common factor number is the GCF number.
So the greatest common factor 7080 and 7086 is 6.

Also check out the Least Common Multiple of 7080 and 7086