What is the Greatest Common Factor of 97773 and 97786?

Greatest common factor (GCF) of 97773 and 97786 is 13.

GCF(97773,97786) = 13

We will now calculate the prime factors of 97773 and 97786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97773 and 97786.

How to find the GCF of 97773 and 97786?

We will first find the prime factorization of 97773 and 97786. After we will calculate the factors of 97773 and 97786 and find the biggest common factor number .

Step-1: Prime Factorization of 97773

Prime factors of 97773 are 3, 13, 23, 109. Prime factorization of 97773 in exponential form is:

97773 = 3¹ × 13¹ × 23¹ × 109¹

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 97773

List of positive integer factors of 97773 that divides 97773 without a remainder.

1, 3, 13, 23, 39, 69, 109, 299, 327, 897, 1417, 2507, 4251, 7521, 32591

Step-4: Factors of 97786

List of positive integer factors of 97786 that divides 97773 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97773 and 97786. The biggest common factor number is the GCF number.
So the greatest common factor 97773 and 97786 is 13.

Also check out the Least Common Multiple of 97773 and 97786