What is the Greatest Common Factor of 92724 and 92731?

Greatest common factor (GCF) of 92724 and 92731 is 1.

GCF(92724,92731) = 1

We will now calculate the prime factors of 92724 and 92731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92724 and 92731.

How to find the GCF of 92724 and 92731?

We will first find the prime factorization of 92724 and 92731. After we will calculate the factors of 92724 and 92731 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 92731

Prime factors of 92731 are 47, 1973. Prime factorization of 92731 in exponential form is:

92731 = 47¹ × 1973¹

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 92731

List of positive integer factors of 92731 that divides 92724 without a remainder.

1, 47, 1973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92724 and 92731. The biggest common factor number is the GCF number.
So the greatest common factor 92724 and 92731 is 1.

Also check out the Least Common Multiple of 92724 and 92731