What is the Greatest Common Factor of 67785 and 67797?

Greatest common factor (GCF) of 67785 and 67797 is 3.

GCF(67785,67797) = 3

We will now calculate the prime factors of 67785 and 67797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67785 and 67797.

How to find the GCF of 67785 and 67797?

We will first find the prime factorization of 67785 and 67797. After we will calculate the factors of 67785 and 67797 and find the biggest common factor number .

Step-1: Prime Factorization of 67785

Prime factors of 67785 are 3, 5, 4519. Prime factorization of 67785 in exponential form is:

67785 = 3¹ × 5¹ × 4519¹

Step-2: Prime Factorization of 67797

Prime factors of 67797 are 3, 31. Prime factorization of 67797 in exponential form is:

67797 = 3⁷ × 31¹

Step-3: Factors of 67785

List of positive integer factors of 67785 that divides 67785 without a remainder.

1, 3, 5, 15, 4519, 13557, 22595

Step-4: Factors of 67797

List of positive integer factors of 67797 that divides 67785 without a remainder.

1, 3, 9, 27, 31, 81, 93, 243, 279, 729, 837, 2187, 2511, 7533, 22599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67785 and 67797. The biggest common factor number is the GCF number.
So the greatest common factor 67785 and 67797 is 3.

Also check out the Least Common Multiple of 67785 and 67797