What is the Greatest Common Factor of 97966 and 97982?

Greatest common factor (GCF) of 97966 and 97982 is 2.

GCF(97966,97982) = 2

We will now calculate the prime factors of 97966 and 97982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97966 and 97982.

How to find the GCF of 97966 and 97982?

We will first find the prime factorization of 97966 and 97982. After we will calculate the factors of 97966 and 97982 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97982

Prime factors of 97982 are 2, 48991. Prime factorization of 97982 in exponential form is:

97982 = 2¹ × 48991¹

Step-3: Factors of 97966

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

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

Step-4: Factors of 97982

List of positive integer factors of 97982 that divides 97966 without a remainder.

1, 2, 48991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97966 and 97982. The biggest common factor number is the GCF number.
So the greatest common factor 97966 and 97982 is 2.

Also check out the Least Common Multiple of 97966 and 97982