What is the Greatest Common Factor of 67960 and 67966?

Greatest common factor (GCF) of 67960 and 67966 is 2.

GCF(67960,67966) = 2

We will now calculate the prime factors of 67960 and 67966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67960 and 67966.

How to find the GCF of 67960 and 67966?

We will first find the prime factorization of 67960 and 67966. After we will calculate the factors of 67960 and 67966 and find the biggest common factor number .

Step-1: Prime Factorization of 67960

Prime factors of 67960 are 2, 5, 1699. Prime factorization of 67960 in exponential form is:

67960 = 2³ × 5¹ × 1699¹

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 67960

List of positive integer factors of 67960 that divides 67960 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1699, 3398, 6796, 8495, 13592, 16990, 33980

Step-4: Factors of 67966

List of positive integer factors of 67966 that divides 67960 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67960 and 67966. The biggest common factor number is the GCF number.
So the greatest common factor 67960 and 67966 is 2.

Also check out the Least Common Multiple of 67960 and 67966