What is the Greatest Common Factor of 35705 and 35709?

Greatest common factor (GCF) of 35705 and 35709 is 1.

GCF(35705,35709) = 1

We will now calculate the prime factors of 35705 and 35709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35705 and 35709.

How to find the GCF of 35705 and 35709?

We will first find the prime factorization of 35705 and 35709. After we will calculate the factors of 35705 and 35709 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 35709

Prime factors of 35709 are 3, 11903. Prime factorization of 35709 in exponential form is:

35709 = 3¹ × 11903¹

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 35709

List of positive integer factors of 35709 that divides 35705 without a remainder.

1, 3, 11903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35705 and 35709. The biggest common factor number is the GCF number.
So the greatest common factor 35705 and 35709 is 1.

Also check out the Least Common Multiple of 35705 and 35709