What is the Greatest Common Factor of 83714 and 83733?

Greatest common factor (GCF) of 83714 and 83733 is 19.

GCF(83714,83733) = 19

We will now calculate the prime factors of 83714 and 83733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83714 and 83733.

How to find the GCF of 83714 and 83733?

We will first find the prime factorization of 83714 and 83733. After we will calculate the factors of 83714 and 83733 and find the biggest common factor number .

Step-1: Prime Factorization of 83714

Prime factors of 83714 are 2, 19, 2203. Prime factorization of 83714 in exponential form is:

83714 = 2¹ × 19¹ × 2203¹

Step-2: Prime Factorization of 83733

Prime factors of 83733 are 3, 13, 19, 113. Prime factorization of 83733 in exponential form is:

83733 = 3¹ × 13¹ × 19¹ × 113¹

Step-3: Factors of 83714

List of positive integer factors of 83714 that divides 83714 without a remainder.

1, 2, 19, 38, 2203, 4406, 41857

Step-4: Factors of 83733

List of positive integer factors of 83733 that divides 83714 without a remainder.

1, 3, 13, 19, 39, 57, 113, 247, 339, 741, 1469, 2147, 4407, 6441, 27911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83714 and 83733. The biggest common factor number is the GCF number.
So the greatest common factor 83714 and 83733 is 19.

Also check out the Least Common Multiple of 83714 and 83733