What is the Greatest Common Factor of 97966 and 97977?

Greatest common factor (GCF) of 97966 and 97977 is 11.

GCF(97966,97977) = 11

We will now calculate the prime factors of 97966 and 97977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97966 and 97977.

How to find the GCF of 97966 and 97977?

We will first find the prime factorization of 97966 and 97977. After we will calculate the factors of 97966 and 97977 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 97977

Prime factors of 97977 are 3, 11, 2969. Prime factorization of 97977 in exponential form is:

97977 = 3¹ × 11¹ × 2969¹

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 97977

List of positive integer factors of 97977 that divides 97966 without a remainder.

1, 3, 11, 33, 2969, 8907, 32659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97966 and 97977. The biggest common factor number is the GCF number.
So the greatest common factor 97966 and 97977 is 11.

Also check out the Least Common Multiple of 97966 and 97977