What is the Greatest Common Factor of 35701 and 35721?

Greatest common factor (GCF) of 35701 and 35721 is 1.

GCF(35701,35721) = 1

We will now calculate the prime factors of 35701 and 35721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35701 and 35721.

How to find the GCF of 35701 and 35721?

We will first find the prime factorization of 35701 and 35721. After we will calculate the factors of 35701 and 35721 and find the biggest common factor number .

Step-1: Prime Factorization of 35701

Prime factors of 35701 are 19, 1879. Prime factorization of 35701 in exponential form is:

35701 = 19¹ × 1879¹

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 35701

List of positive integer factors of 35701 that divides 35701 without a remainder.

1, 19, 1879

Step-4: Factors of 35721

List of positive integer factors of 35721 that divides 35701 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 35701 and 35721. The biggest common factor number is the GCF number.
So the greatest common factor 35701 and 35721 is 1.

Also check out the Least Common Multiple of 35701 and 35721