What is the Greatest Common Factor of 67080 and 67086?

Greatest common factor (GCF) of 67080 and 67086 is 6.

GCF(67080,67086) = 6

We will now calculate the prime factors of 67080 and 67086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67080 and 67086.

How to find the GCF of 67080 and 67086?

We will first find the prime factorization of 67080 and 67086. After we will calculate the factors of 67080 and 67086 and find the biggest common factor number .

Step-1: Prime Factorization of 67080

Prime factors of 67080 are 2, 3, 5, 13, 43. Prime factorization of 67080 in exponential form is:

67080 = 2³ × 3¹ × 5¹ × 13¹ × 43¹

Step-2: Prime Factorization of 67086

Prime factors of 67086 are 2, 3, 3727. Prime factorization of 67086 in exponential form is:

67086 = 2¹ × 3² × 3727¹

Step-3: Factors of 67080

List of positive integer factors of 67080 that divides 67080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 43, 52, 60, 65, 78, 86, 104, 120, 129, 130, 156, 172, 195, 215, 258, 260, 312, 344, 390, 430, 516, 520, 559, 645, 780, 860, 1032, 1118, 1290, 1560, 1677, 1720, 2236, 2580, 2795, 3354, 4472, 5160, 5590, 6708, 8385, 11180, 13416, 16770, 22360, 33540

Step-4: Factors of 67086

List of positive integer factors of 67086 that divides 67080 without a remainder.

1, 2, 3, 6, 9, 18, 3727, 7454, 11181, 22362, 33543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67080 and 67086. The biggest common factor number is the GCF number.
So the greatest common factor 67080 and 67086 is 6.

Also check out the Least Common Multiple of 67080 and 67086