What is the Greatest Common Factor of 67665 and 67683?

Greatest common factor (GCF) of 67665 and 67683 is 3.

GCF(67665,67683) = 3

We will now calculate the prime factors of 67665 and 67683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67665 and 67683.

How to find the GCF of 67665 and 67683?

We will first find the prime factorization of 67665 and 67683. After we will calculate the factors of 67665 and 67683 and find the biggest common factor number .

Step-1: Prime Factorization of 67665

Prime factors of 67665 are 3, 5, 13, 347. Prime factorization of 67665 in exponential form is:

67665 = 3¹ × 5¹ × 13¹ × 347¹

Step-2: Prime Factorization of 67683

Prime factors of 67683 are 3, 7, 11, 293. Prime factorization of 67683 in exponential form is:

67683 = 3¹ × 7¹ × 11¹ × 293¹

Step-3: Factors of 67665

List of positive integer factors of 67665 that divides 67665 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 347, 1041, 1735, 4511, 5205, 13533, 22555

Step-4: Factors of 67683

List of positive integer factors of 67683 that divides 67665 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 293, 879, 2051, 3223, 6153, 9669, 22561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67665 and 67683. The biggest common factor number is the GCF number.
So the greatest common factor 67665 and 67683 is 3.

Also check out the Least Common Multiple of 67665 and 67683