What is the Greatest Common Factor of 35714 and 35721?

Greatest common factor (GCF) of 35714 and 35721 is 7.

GCF(35714,35721) = 7

We will now calculate the prime factors of 35714 and 35721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35714 and 35721.

How to find the GCF of 35714 and 35721?

We will first find the prime factorization of 35714 and 35721. After we will calculate the factors of 35714 and 35721 and find the biggest common factor number .

Step-1: Prime Factorization of 35714

Prime factors of 35714 are 2, 7, 2551. Prime factorization of 35714 in exponential form is:

35714 = 2¹ × 7¹ × 2551¹

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 35714

List of positive integer factors of 35714 that divides 35714 without a remainder.

1, 2, 7, 14, 2551, 5102, 17857

Step-4: Factors of 35721

List of positive integer factors of 35721 that divides 35714 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 35714 and 35721. The biggest common factor number is the GCF number.
So the greatest common factor 35714 and 35721 is 7.

Also check out the Least Common Multiple of 35714 and 35721