What is the Greatest Common Factor of 92724 and 92739?

Greatest common factor (GCF) of 92724 and 92739 is 3.

GCF(92724,92739) = 3

We will now calculate the prime factors of 92724 and 92739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92724 and 92739.

How to find the GCF of 92724 and 92739?

We will first find the prime factorization of 92724 and 92739. After we will calculate the factors of 92724 and 92739 and find the biggest common factor number .

Step-1: Prime Factorization of 92724

Prime factors of 92724 are 2, 3, 7727. Prime factorization of 92724 in exponential form is:

92724 = 2² × 3¹ × 7727¹

Step-2: Prime Factorization of 92739

Prime factors of 92739 are 3, 19, 1627. Prime factorization of 92739 in exponential form is:

92739 = 3¹ × 19¹ × 1627¹

Step-3: Factors of 92724

List of positive integer factors of 92724 that divides 92724 without a remainder.

1, 2, 3, 4, 6, 12, 7727, 15454, 23181, 30908, 46362

Step-4: Factors of 92739

List of positive integer factors of 92739 that divides 92724 without a remainder.

1, 3, 19, 57, 1627, 4881, 30913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92724 and 92739. The biggest common factor number is the GCF number.
So the greatest common factor 92724 and 92739 is 3.

Also check out the Least Common Multiple of 92724 and 92739