What is the Greatest Common Factor of 77724 and 77733?

Greatest common factor (GCF) of 77724 and 77733 is 9.

GCF(77724,77733) = 9

We will now calculate the prime factors of 77724 and 77733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77724 and 77733.

How to find the GCF of 77724 and 77733?

We will first find the prime factorization of 77724 and 77733. After we will calculate the factors of 77724 and 77733 and find the biggest common factor number .

Step-1: Prime Factorization of 77724

Prime factors of 77724 are 2, 3, 17, 127. Prime factorization of 77724 in exponential form is:

77724 = 2² × 3² × 17¹ × 127¹

Step-2: Prime Factorization of 77733

Prime factors of 77733 are 3, 2879. Prime factorization of 77733 in exponential form is:

77733 = 3³ × 2879¹

Step-3: Factors of 77724

List of positive integer factors of 77724 that divides 77724 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 127, 153, 204, 254, 306, 381, 508, 612, 762, 1143, 1524, 2159, 2286, 4318, 4572, 6477, 8636, 12954, 19431, 25908, 38862

Step-4: Factors of 77733

List of positive integer factors of 77733 that divides 77724 without a remainder.

1, 3, 9, 27, 2879, 8637, 25911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77724 and 77733. The biggest common factor number is the GCF number.
So the greatest common factor 77724 and 77733 is 9.

Also check out the Least Common Multiple of 77724 and 77733