What is the Greatest Common Factor of 97958 and 97966?

Greatest common factor (GCF) of 97958 and 97966 is 2.

GCF(97958,97966) = 2

We will now calculate the prime factors of 97958 and 97966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97958 and 97966.

How to find the GCF of 97958 and 97966?

We will first find the prime factorization of 97958 and 97966. After we will calculate the factors of 97958 and 97966 and find the biggest common factor number .

Step-1: Prime Factorization of 97958

Prime factors of 97958 are 2, 7, 6997. Prime factorization of 97958 in exponential form is:

97958 = 2¹ × 7¹ × 6997¹

Step-2: Prime Factorization of 97966

Prime factors of 97966 are 2, 11, 61, 73. Prime factorization of 97966 in exponential form is:

97966 = 2¹ × 11¹ × 61¹ × 73¹

Step-3: Factors of 97958

List of positive integer factors of 97958 that divides 97958 without a remainder.

1, 2, 7, 14, 6997, 13994, 48979

Step-4: Factors of 97966

List of positive integer factors of 97966 that divides 97958 without a remainder.

1, 2, 11, 22, 61, 73, 122, 146, 671, 803, 1342, 1606, 4453, 8906, 48983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97958 and 97966. The biggest common factor number is the GCF number.
So the greatest common factor 97958 and 97966 is 2.

Also check out the Least Common Multiple of 97958 and 97966