What is the Greatest Common Factor of 68685 and 68697?

Greatest common factor (GCF) of 68685 and 68697 is 3.

GCF(68685,68697) = 3

We will now calculate the prime factors of 68685 and 68697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68685 and 68697.

How to find the GCF of 68685 and 68697?

We will first find the prime factorization of 68685 and 68697. After we will calculate the factors of 68685 and 68697 and find the biggest common factor number .

Step-1: Prime Factorization of 68685

Prime factors of 68685 are 3, 5, 19, 241. Prime factorization of 68685 in exponential form is:

68685 = 3¹ × 5¹ × 19¹ × 241¹

Step-2: Prime Factorization of 68697

Prime factors of 68697 are 3, 17, 449. Prime factorization of 68697 in exponential form is:

68697 = 3² × 17¹ × 449¹

Step-3: Factors of 68685

List of positive integer factors of 68685 that divides 68685 without a remainder.

1, 3, 5, 15, 19, 57, 95, 241, 285, 723, 1205, 3615, 4579, 13737, 22895

Step-4: Factors of 68697

List of positive integer factors of 68697 that divides 68685 without a remainder.

1, 3, 9, 17, 51, 153, 449, 1347, 4041, 7633, 22899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68685 and 68697. The biggest common factor number is the GCF number.
So the greatest common factor 68685 and 68697 is 3.

Also check out the Least Common Multiple of 68685 and 68697