What is the Greatest Common Factor of 35722 and 35729?

Greatest common factor (GCF) of 35722 and 35729 is 1.

GCF(35722,35729) = 1

We will now calculate the prime factors of 35722 and 35729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35722 and 35729.

How to find the GCF of 35722 and 35729?

We will first find the prime factorization of 35722 and 35729. After we will calculate the factors of 35722 and 35729 and find the biggest common factor number .

Step-1: Prime Factorization of 35722

Prime factors of 35722 are 2, 53, 337. Prime factorization of 35722 in exponential form is:

35722 = 2¹ × 53¹ × 337¹

Step-2: Prime Factorization of 35729

Prime factors of 35729 are 35729. Prime factorization of 35729 in exponential form is:

35729 = 35729¹

Step-3: Factors of 35722

List of positive integer factors of 35722 that divides 35722 without a remainder.

1, 2, 53, 106, 337, 674, 17861

Step-4: Factors of 35729

List of positive integer factors of 35729 that divides 35722 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35722 and 35729. The biggest common factor number is the GCF number.
So the greatest common factor 35722 and 35729 is 1.

Also check out the Least Common Multiple of 35722 and 35729