What is the Greatest Common Factor of 92739 and 92757?

Greatest common factor (GCF) of 92739 and 92757 is 3.

GCF(92739,92757) = 3

We will now calculate the prime factors of 92739 and 92757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92739 and 92757.

How to find the GCF of 92739 and 92757?

We will first find the prime factorization of 92739 and 92757. After we will calculate the factors of 92739 and 92757 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92757

Prime factors of 92757 are 3, 7, 631. Prime factorization of 92757 in exponential form is:

92757 = 3¹ × 7² × 631¹

Step-3: Factors of 92739

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

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

Step-4: Factors of 92757

List of positive integer factors of 92757 that divides 92739 without a remainder.

1, 3, 7, 21, 49, 147, 631, 1893, 4417, 13251, 30919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92739 and 92757. The biggest common factor number is the GCF number.
So the greatest common factor 92739 and 92757 is 3.

Also check out the Least Common Multiple of 92739 and 92757