What is the Greatest Common Factor of 92715 and 92721?

Greatest common factor (GCF) of 92715 and 92721 is 3.

GCF(92715,92721) = 3

We will now calculate the prime factors of 92715 and 92721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92715 and 92721.

How to find the GCF of 92715 and 92721?

We will first find the prime factorization of 92715 and 92721. After we will calculate the factors of 92715 and 92721 and find the biggest common factor number .

Step-1: Prime Factorization of 92715

Prime factors of 92715 are 3, 5, 7, 883. Prime factorization of 92715 in exponential form is:

92715 = 3¹ × 5¹ × 7¹ × 883¹

Step-2: Prime Factorization of 92721

Prime factors of 92721 are 3, 31, 997. Prime factorization of 92721 in exponential form is:

92721 = 3¹ × 31¹ × 997¹

Step-3: Factors of 92715

List of positive integer factors of 92715 that divides 92715 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 883, 2649, 4415, 6181, 13245, 18543, 30905

Step-4: Factors of 92721

List of positive integer factors of 92721 that divides 92715 without a remainder.

1, 3, 31, 93, 997, 2991, 30907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92715 and 92721. The biggest common factor number is the GCF number.
So the greatest common factor 92715 and 92721 is 3.

Also check out the Least Common Multiple of 92715 and 92721