What is the Greatest Common Factor of 95670 and 95688?

Greatest common factor (GCF) of 95670 and 95688 is 18.

GCF(95670,95688) = 18

We will now calculate the prime factors of 95670 and 95688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95670 and 95688.

How to find the GCF of 95670 and 95688?

We will first find the prime factorization of 95670 and 95688. After we will calculate the factors of 95670 and 95688 and find the biggest common factor number .

Step-1: Prime Factorization of 95670

Prime factors of 95670 are 2, 3, 5, 1063. Prime factorization of 95670 in exponential form is:

95670 = 2¹ × 3² × 5¹ × 1063¹

Step-2: 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-3: Factors of 95670

List of positive integer factors of 95670 that divides 95670 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1063, 2126, 3189, 5315, 6378, 9567, 10630, 15945, 19134, 31890, 47835

Step-4: Factors of 95688

List of positive integer factors of 95688 that divides 95670 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95670 and 95688. The biggest common factor number is the GCF number.
So the greatest common factor 95670 and 95688 is 18.

Also check out the Least Common Multiple of 95670 and 95688