What is the Greatest Common Factor of 73773 and 73779?

Greatest common factor (GCF) of 73773 and 73779 is 3.

GCF(73773,73779) = 3

We will now calculate the prime factors of 73773 and 73779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73773 and 73779.

How to find the GCF of 73773 and 73779?

We will first find the prime factorization of 73773 and 73779. After we will calculate the factors of 73773 and 73779 and find the biggest common factor number .

Step-1: Prime Factorization of 73773

Prime factors of 73773 are 3, 7, 1171. Prime factorization of 73773 in exponential form is:

73773 = 3² × 7¹ × 1171¹

Step-2: Prime Factorization of 73779

Prime factors of 73779 are 3, 24593. Prime factorization of 73779 in exponential form is:

73779 = 3¹ × 24593¹

Step-3: Factors of 73773

List of positive integer factors of 73773 that divides 73773 without a remainder.

1, 3, 7, 9, 21, 63, 1171, 3513, 8197, 10539, 24591

Step-4: Factors of 73779

List of positive integer factors of 73779 that divides 73773 without a remainder.

1, 3, 24593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73773 and 73779. The biggest common factor number is the GCF number.
So the greatest common factor 73773 and 73779 is 3.

Also check out the Least Common Multiple of 73773 and 73779