What is the Greatest Common Factor of 67949 and 67966?

Greatest common factor (GCF) of 67949 and 67966 is 17.

GCF(67949,67966) = 17

We will now calculate the prime factors of 67949 and 67966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67949 and 67966.

How to find the GCF of 67949 and 67966?

We will first find the prime factorization of 67949 and 67966. After we will calculate the factors of 67949 and 67966 and find the biggest common factor number .

Step-1: Prime Factorization of 67949

Prime factors of 67949 are 7, 17, 571. Prime factorization of 67949 in exponential form is:

67949 = 7¹ × 17¹ × 571¹

Step-2: Prime Factorization of 67966

Prime factors of 67966 are 2, 17, 1999. Prime factorization of 67966 in exponential form is:

67966 = 2¹ × 17¹ × 1999¹

Step-3: Factors of 67949

List of positive integer factors of 67949 that divides 67949 without a remainder.

1, 7, 17, 119, 571, 3997, 9707

Step-4: Factors of 67966

List of positive integer factors of 67966 that divides 67949 without a remainder.

1, 2, 17, 34, 1999, 3998, 33983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67949 and 67966. The biggest common factor number is the GCF number.
So the greatest common factor 67949 and 67966 is 17.

Also check out the Least Common Multiple of 67949 and 67966