What is the Greatest Common Factor of 33714 and 33719?

Greatest common factor (GCF) of 33714 and 33719 is 1.

GCF(33714,33719) = 1

We will now calculate the prime factors of 33714 and 33719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33714 and 33719.

How to find the GCF of 33714 and 33719?

We will first find the prime factorization of 33714 and 33719. After we will calculate the factors of 33714 and 33719 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33719

Prime factors of 33719 are 7, 4817. Prime factorization of 33719 in exponential form is:

33719 = 7¹ × 4817¹

Step-3: Factors of 33714

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

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

Step-4: Factors of 33719

List of positive integer factors of 33719 that divides 33714 without a remainder.

1, 7, 4817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33714 and 33719. The biggest common factor number is the GCF number.
So the greatest common factor 33714 and 33719 is 1.

Also check out the Least Common Multiple of 33714 and 33719