What is the Greatest Common Factor of 86943 and 86952?

Greatest common factor (GCF) of 86943 and 86952 is 3.

GCF(86943,86952) = 3

We will now calculate the prime factors of 86943 and 86952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86943 and 86952.

How to find the GCF of 86943 and 86952?

We will first find the prime factorization of 86943 and 86952. After we will calculate the factors of 86943 and 86952 and find the biggest common factor number .

Step-1: Prime Factorization of 86943

Prime factors of 86943 are 3, 73, 397. Prime factorization of 86943 in exponential form is:

86943 = 3¹ × 73¹ × 397¹

Step-2: Prime Factorization of 86952

Prime factors of 86952 are 2, 3, 3623. Prime factorization of 86952 in exponential form is:

86952 = 2³ × 3¹ × 3623¹

Step-3: Factors of 86943

List of positive integer factors of 86943 that divides 86943 without a remainder.

1, 3, 73, 219, 397, 1191, 28981

Step-4: Factors of 86952

List of positive integer factors of 86952 that divides 86943 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3623, 7246, 10869, 14492, 21738, 28984, 43476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86943 and 86952. The biggest common factor number is the GCF number.
So the greatest common factor 86943 and 86952 is 3.

Also check out the Least Common Multiple of 86943 and 86952