What is the Greatest Common Factor of 97773 and 97779?

Greatest common factor (GCF) of 97773 and 97779 is 3.

GCF(97773,97779) = 3

We will now calculate the prime factors of 97773 and 97779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97773 and 97779.

How to find the GCF of 97773 and 97779?

We will first find the prime factorization of 97773 and 97779. After we will calculate the factors of 97773 and 97779 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 97779

Prime factors of 97779 are 3, 11, 2963. Prime factorization of 97779 in exponential form is:

97779 = 3¹ × 11¹ × 2963¹

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 97779

List of positive integer factors of 97779 that divides 97773 without a remainder.

1, 3, 11, 33, 2963, 8889, 32593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97773 and 97779. The biggest common factor number is the GCF number.
So the greatest common factor 97773 and 97779 is 3.

Also check out the Least Common Multiple of 97773 and 97779