What is the Greatest Common Factor of 35715 and 35721?

Greatest common factor (GCF) of 35715 and 35721 is 3.

GCF(35715,35721) = 3

We will now calculate the prime factors of 35715 and 35721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35715 and 35721.

How to find the GCF of 35715 and 35721?

We will first find the prime factorization of 35715 and 35721. After we will calculate the factors of 35715 and 35721 and find the biggest common factor number .

Step-1: Prime Factorization of 35715

Prime factors of 35715 are 3, 5, 2381. Prime factorization of 35715 in exponential form is:

35715 = 3¹ × 5¹ × 2381¹

Step-2: Prime Factorization of 35721

Prime factors of 35721 are 3, 7. Prime factorization of 35721 in exponential form is:

35721 = 3⁶ × 7²

Step-3: Factors of 35715

List of positive integer factors of 35715 that divides 35715 without a remainder.

1, 3, 5, 15, 2381, 7143, 11905

Step-4: Factors of 35721

List of positive integer factors of 35721 that divides 35715 without a remainder.

1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 243, 441, 567, 729, 1323, 1701, 3969, 5103, 11907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35715 and 35721. The biggest common factor number is the GCF number.
So the greatest common factor 35715 and 35721 is 3.

Also check out the Least Common Multiple of 35715 and 35721