What is the Greatest Common Factor of 95688 and 95694?

Greatest common factor (GCF) of 95688 and 95694 is 6.

GCF(95688,95694) = 6

We will now calculate the prime factors of 95688 and 95694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95688 and 95694.

How to find the GCF of 95688 and 95694?

We will first find the prime factorization of 95688 and 95694. After we will calculate the factors of 95688 and 95694 and find the biggest common factor number .

Step-1: Prime Factorization of 95688

Prime factors of 95688 are 2, 3, 443. Prime factorization of 95688 in exponential form is:

95688 = 2³ × 3³ × 443¹

Step-2: Prime Factorization of 95694

Prime factors of 95694 are 2, 3, 41, 389. Prime factorization of 95694 in exponential form is:

95694 = 2¹ × 3¹ × 41¹ × 389¹

Step-3: Factors of 95688

List of positive integer factors of 95688 that divides 95688 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 443, 886, 1329, 1772, 2658, 3544, 3987, 5316, 7974, 10632, 11961, 15948, 23922, 31896, 47844

Step-4: Factors of 95694

List of positive integer factors of 95694 that divides 95688 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 389, 778, 1167, 2334, 15949, 31898, 47847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95688 and 95694. The biggest common factor number is the GCF number.
So the greatest common factor 95688 and 95694 is 6.

Also check out the Least Common Multiple of 95688 and 95694