What is the Greatest Common Factor of 88683 and 88695?

Greatest common factor (GCF) of 88683 and 88695 is 3.

GCF(88683,88695) = 3

We will now calculate the prime factors of 88683 and 88695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88683 and 88695.

How to find the GCF of 88683 and 88695?

We will first find the prime factorization of 88683 and 88695. After we will calculate the factors of 88683 and 88695 and find the biggest common factor number .

Step-1: Prime Factorization of 88683

Prime factors of 88683 are 3, 7, 41, 103. Prime factorization of 88683 in exponential form is:

88683 = 3¹ × 7¹ × 41¹ × 103¹

Step-2: Prime Factorization of 88695

Prime factors of 88695 are 3, 5, 73. Prime factorization of 88695 in exponential form is:

88695 = 3⁵ × 5¹ × 73¹

Step-3: Factors of 88683

List of positive integer factors of 88683 that divides 88683 without a remainder.

1, 3, 7, 21, 41, 103, 123, 287, 309, 721, 861, 2163, 4223, 12669, 29561

Step-4: Factors of 88695

List of positive integer factors of 88695 that divides 88683 without a remainder.

1, 3, 5, 9, 15, 27, 45, 73, 81, 135, 219, 243, 365, 405, 657, 1095, 1215, 1971, 3285, 5913, 9855, 17739, 29565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88683 and 88695. The biggest common factor number is the GCF number.
So the greatest common factor 88683 and 88695 is 3.

Also check out the Least Common Multiple of 88683 and 88695