What is the Greatest Common Factor of 83677 and 83688?

Greatest common factor (GCF) of 83677 and 83688 is 11.

GCF(83677,83688) = 11

We will now calculate the prime factors of 83677 and 83688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83677 and 83688.

How to find the GCF of 83677 and 83688?

We will first find the prime factorization of 83677 and 83688. After we will calculate the factors of 83677 and 83688 and find the biggest common factor number .

Step-1: Prime Factorization of 83677

Prime factors of 83677 are 11, 7607. Prime factorization of 83677 in exponential form is:

83677 = 11¹ × 7607¹

Step-2: 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-3: Factors of 83677

List of positive integer factors of 83677 that divides 83677 without a remainder.

1, 11, 7607

Step-4: Factors of 83688

List of positive integer factors of 83688 that divides 83677 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83677 and 83688. The biggest common factor number is the GCF number.
So the greatest common factor 83677 and 83688 is 11.

Also check out the Least Common Multiple of 83677 and 83688