What is the Greatest Common Factor of 67080 and 67089?

Greatest common factor (GCF) of 67080 and 67089 is 3.

GCF(67080,67089) = 3

We will now calculate the prime factors of 67080 and 67089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67080 and 67089.

How to find the GCF of 67080 and 67089?

We will first find the prime factorization of 67080 and 67089. After we will calculate the factors of 67080 and 67089 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 67089

Prime factors of 67089 are 3, 11, 19, 107. Prime factorization of 67089 in exponential form is:

67089 = 3¹ × 11¹ × 19¹ × 107¹

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 67089

List of positive integer factors of 67089 that divides 67080 without a remainder.

1, 3, 11, 19, 33, 57, 107, 209, 321, 627, 1177, 2033, 3531, 6099, 22363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67080 and 67089. The biggest common factor number is the GCF number.
So the greatest common factor 67080 and 67089 is 3.

Also check out the Least Common Multiple of 67080 and 67089