What is the Greatest Common Factor of 67080 and 67093?

Greatest common factor (GCF) of 67080 and 67093 is 13.

GCF(67080,67093) = 13

We will now calculate the prime factors of 67080 and 67093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67080 and 67093.

How to find the GCF of 67080 and 67093?

We will first find the prime factorization of 67080 and 67093. After we will calculate the factors of 67080 and 67093 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 67093

Prime factors of 67093 are 13, 397. Prime factorization of 67093 in exponential form is:

67093 = 13² × 397¹

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 67093

List of positive integer factors of 67093 that divides 67080 without a remainder.

1, 13, 169, 397, 5161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67080 and 67093. The biggest common factor number is the GCF number.
So the greatest common factor 67080 and 67093 is 13.

Also check out the Least Common Multiple of 67080 and 67093