What is the Greatest Common Factor of 67683 and 67695?

Greatest common factor (GCF) of 67683 and 67695 is 3.

GCF(67683,67695) = 3

We will now calculate the prime factors of 67683 and 67695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67683 and 67695.

How to find the GCF of 67683 and 67695?

We will first find the prime factorization of 67683 and 67695. After we will calculate the factors of 67683 and 67695 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67695

Prime factors of 67695 are 3, 5, 4513. Prime factorization of 67695 in exponential form is:

67695 = 3¹ × 5¹ × 4513¹

Step-3: Factors of 67683

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

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

Step-4: Factors of 67695

List of positive integer factors of 67695 that divides 67683 without a remainder.

1, 3, 5, 15, 4513, 13539, 22565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67683 and 67695. The biggest common factor number is the GCF number.
So the greatest common factor 67683 and 67695 is 3.

Also check out the Least Common Multiple of 67683 and 67695