What is the Greatest Common Factor of 33716 and 33733?

Greatest common factor (GCF) of 33716 and 33733 is 1.

GCF(33716,33733) = 1

We will now calculate the prime factors of 33716 and 33733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33716 and 33733.

How to find the GCF of 33716 and 33733?

We will first find the prime factorization of 33716 and 33733. After we will calculate the factors of 33716 and 33733 and find the biggest common factor number .

Step-1: Prime Factorization of 33716

Prime factors of 33716 are 2, 8429. Prime factorization of 33716 in exponential form is:

33716 = 2² × 8429¹

Step-2: Prime Factorization of 33733

Prime factors of 33733 are 7, 61, 79. Prime factorization of 33733 in exponential form is:

33733 = 7¹ × 61¹ × 79¹

Step-3: Factors of 33716

List of positive integer factors of 33716 that divides 33716 without a remainder.

1, 2, 4, 8429, 16858

Step-4: Factors of 33733

List of positive integer factors of 33733 that divides 33716 without a remainder.

1, 7, 61, 79, 427, 553, 4819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33716 and 33733. The biggest common factor number is the GCF number.
So the greatest common factor 33716 and 33733 is 1.

Also check out the Least Common Multiple of 33716 and 33733