What is the Greatest Common Factor of 83832 and 83839?

Greatest common factor (GCF) of 83832 and 83839 is 7.

GCF(83832,83839) = 7

We will now calculate the prime factors of 83832 and 83839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83832 and 83839.

How to find the GCF of 83832 and 83839?

We will first find the prime factorization of 83832 and 83839. After we will calculate the factors of 83832 and 83839 and find the biggest common factor number .

Step-1: Prime Factorization of 83832

Prime factors of 83832 are 2, 3, 7, 499. Prime factorization of 83832 in exponential form is:

83832 = 2³ × 3¹ × 7¹ × 499¹

Step-2: Prime Factorization of 83839

Prime factors of 83839 are 7, 29, 59. Prime factorization of 83839 in exponential form is:

83839 = 7² × 29¹ × 59¹

Step-3: Factors of 83832

List of positive integer factors of 83832 that divides 83832 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 499, 998, 1497, 1996, 2994, 3493, 3992, 5988, 6986, 10479, 11976, 13972, 20958, 27944, 41916

Step-4: Factors of 83839

List of positive integer factors of 83839 that divides 83832 without a remainder.

1, 7, 29, 49, 59, 203, 413, 1421, 1711, 2891, 11977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83832 and 83839. The biggest common factor number is the GCF number.
So the greatest common factor 83832 and 83839 is 7.

Also check out the Least Common Multiple of 83832 and 83839