What is the Greatest Common Factor of 33709 and 33714?

Greatest common factor (GCF) of 33709 and 33714 is 1.

GCF(33709,33714) = 1

We will now calculate the prime factors of 33709 and 33714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33709 and 33714.

How to find the GCF of 33709 and 33714?

We will first find the prime factorization of 33709 and 33714. After we will calculate the factors of 33709 and 33714 and find the biggest common factor number .

Step-1: Prime Factorization of 33709

Prime factors of 33709 are 13, 2593. Prime factorization of 33709 in exponential form is:

33709 = 13¹ × 2593¹

Step-2: Prime Factorization of 33714

Prime factors of 33714 are 2, 3, 1873. Prime factorization of 33714 in exponential form is:

33714 = 2¹ × 3² × 1873¹

Step-3: Factors of 33709

List of positive integer factors of 33709 that divides 33709 without a remainder.

1, 13, 2593

Step-4: Factors of 33714

List of positive integer factors of 33714 that divides 33709 without a remainder.

1, 2, 3, 6, 9, 18, 1873, 3746, 5619, 11238, 16857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33709 and 33714. The biggest common factor number is the GCF number.
So the greatest common factor 33709 and 33714 is 1.

Also check out the Least Common Multiple of 33709 and 33714