What is the Greatest Common Factor of 97786 and 97799?

Greatest common factor (GCF) of 97786 and 97799 is 13.

GCF(97786,97799) = 13

We will now calculate the prime factors of 97786 and 97799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97786 and 97799.

How to find the GCF of 97786 and 97799?

We will first find the prime factorization of 97786 and 97799. After we will calculate the factors of 97786 and 97799 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97799

Prime factors of 97799 are 13, 7523. Prime factorization of 97799 in exponential form is:

97799 = 13¹ × 7523¹

Step-3: Factors of 97786

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

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

Step-4: Factors of 97799

List of positive integer factors of 97799 that divides 97786 without a remainder.

1, 13, 7523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97786 and 97799. The biggest common factor number is the GCF number.
So the greatest common factor 97786 and 97799 is 13.

Also check out the Least Common Multiple of 97786 and 97799