What is the Greatest Common Factor of 83688 and 83699?

Greatest common factor (GCF) of 83688 and 83699 is 11.

GCF(83688,83699) = 11

We will now calculate the prime factors of 83688 and 83699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83688 and 83699.

How to find the GCF of 83688 and 83699?

We will first find the prime factorization of 83688 and 83699. After we will calculate the factors of 83688 and 83699 and find the biggest common factor number .

Step-1: Prime Factorization of 83688

Prime factors of 83688 are 2, 3, 11, 317. Prime factorization of 83688 in exponential form is:

83688 = 2³ × 3¹ × 11¹ × 317¹

Step-2: Prime Factorization of 83699

Prime factors of 83699 are 7, 11, 1087. Prime factorization of 83699 in exponential form is:

83699 = 7¹ × 11¹ × 1087¹

Step-3: Factors of 83688

List of positive integer factors of 83688 that divides 83688 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 317, 634, 951, 1268, 1902, 2536, 3487, 3804, 6974, 7608, 10461, 13948, 20922, 27896, 41844

Step-4: Factors of 83699

List of positive integer factors of 83699 that divides 83688 without a remainder.

1, 7, 11, 77, 1087, 7609, 11957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83688 and 83699. The biggest common factor number is the GCF number.
So the greatest common factor 83688 and 83699 is 11.

Also check out the Least Common Multiple of 83688 and 83699