What is the Greatest Common Factor of 67643 and 67660?

Greatest common factor (GCF) of 67643 and 67660 is 17.

GCF(67643,67660) = 17

We will now calculate the prime factors of 67643 and 67660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67643 and 67660.

How to find the GCF of 67643 and 67660?

We will first find the prime factorization of 67643 and 67660. After we will calculate the factors of 67643 and 67660 and find the biggest common factor number .

Step-1: Prime Factorization of 67643

Prime factors of 67643 are 17, 23, 173. Prime factorization of 67643 in exponential form is:

67643 = 17¹ × 23¹ × 173¹

Step-2: Prime Factorization of 67660

Prime factors of 67660 are 2, 5, 17, 199. Prime factorization of 67660 in exponential form is:

67660 = 2² × 5¹ × 17¹ × 199¹

Step-3: Factors of 67643

List of positive integer factors of 67643 that divides 67643 without a remainder.

1, 17, 23, 173, 391, 2941, 3979

Step-4: Factors of 67660

List of positive integer factors of 67660 that divides 67643 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 199, 340, 398, 796, 995, 1990, 3383, 3980, 6766, 13532, 16915, 33830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67643 and 67660. The biggest common factor number is the GCF number.
So the greatest common factor 67643 and 67660 is 17.

Also check out the Least Common Multiple of 67643 and 67660