What is the Greatest Common Factor of 67140 and 67155?

Greatest common factor (GCF) of 67140 and 67155 is 15.

GCF(67140,67155) = 15

We will now calculate the prime factors of 67140 and 67155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67140 and 67155.

How to find the GCF of 67140 and 67155?

We will first find the prime factorization of 67140 and 67155. After we will calculate the factors of 67140 and 67155 and find the biggest common factor number .

Step-1: Prime Factorization of 67140

Prime factors of 67140 are 2, 3, 5, 373. Prime factorization of 67140 in exponential form is:

67140 = 2² × 3² × 5¹ × 373¹

Step-2: Prime Factorization of 67155

Prime factors of 67155 are 3, 5, 11, 37. Prime factorization of 67155 in exponential form is:

67155 = 3¹ × 5¹ × 11² × 37¹

Step-3: Factors of 67140

List of positive integer factors of 67140 that divides 67140 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 373, 746, 1119, 1492, 1865, 2238, 3357, 3730, 4476, 5595, 6714, 7460, 11190, 13428, 16785, 22380, 33570

Step-4: Factors of 67155

List of positive integer factors of 67155 that divides 67140 without a remainder.

1, 3, 5, 11, 15, 33, 37, 55, 111, 121, 165, 185, 363, 407, 555, 605, 1221, 1815, 2035, 4477, 6105, 13431, 22385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67140 and 67155. The biggest common factor number is the GCF number.
So the greatest common factor 67140 and 67155 is 15.

Also check out the Least Common Multiple of 67140 and 67155