What is the Greatest Common Factor of 97768 and 97786?

Greatest common factor (GCF) of 97768 and 97786 is 2.

GCF(97768,97786) = 2

We will now calculate the prime factors of 97768 and 97786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97768 and 97786.

How to find the GCF of 97768 and 97786?

We will first find the prime factorization of 97768 and 97786. After we will calculate the factors of 97768 and 97786 and find the biggest common factor number .

Step-1: Prime Factorization of 97768

Prime factors of 97768 are 2, 11, 101. Prime factorization of 97768 in exponential form is:

97768 = 2³ × 11² × 101¹

Step-2: Prime Factorization of 97786

Prime factors of 97786 are 2, 13, 3761. Prime factorization of 97786 in exponential form is:

97786 = 2¹ × 13¹ × 3761¹

Step-3: Factors of 97768

List of positive integer factors of 97768 that divides 97768 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 101, 121, 202, 242, 404, 484, 808, 968, 1111, 2222, 4444, 8888, 12221, 24442, 48884

Step-4: Factors of 97786

List of positive integer factors of 97786 that divides 97768 without a remainder.

1, 2, 13, 26, 3761, 7522, 48893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97768 and 97786. The biggest common factor number is the GCF number.
So the greatest common factor 97768 and 97786 is 2.

Also check out the Least Common Multiple of 97768 and 97786