What is the Greatest Common Factor of 35705 and 35721?

Greatest common factor (GCF) of 35705 and 35721 is 1.

GCF(35705,35721) = 1

We will now calculate the prime factors of 35705 and 35721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35705 and 35721.

How to find the GCF of 35705 and 35721?

We will first find the prime factorization of 35705 and 35721. After we will calculate the factors of 35705 and 35721 and find the biggest common factor number .

Step-1: Prime Factorization of 35705

Prime factors of 35705 are 5, 37, 193. Prime factorization of 35705 in exponential form is:

35705 = 5¹ × 37¹ × 193¹

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 35705

List of positive integer factors of 35705 that divides 35705 without a remainder.

1, 5, 37, 185, 193, 965, 7141

Step-4: Factors of 35721

List of positive integer factors of 35721 that divides 35705 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 35705 and 35721. The biggest common factor number is the GCF number.
So the greatest common factor 35705 and 35721 is 1.

Also check out the Least Common Multiple of 35705 and 35721