What is the Greatest Common Factor of 95688 and 95692?

Greatest common factor (GCF) of 95688 and 95692 is 4.

GCF(95688,95692) = 4

We will now calculate the prime factors of 95688 and 95692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95688 and 95692.

How to find the GCF of 95688 and 95692?

We will first find the prime factorization of 95688 and 95692. After we will calculate the factors of 95688 and 95692 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 95692

Prime factors of 95692 are 2, 47, 509. Prime factorization of 95692 in exponential form is:

95692 = 2² × 47¹ × 509¹

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 95692

List of positive integer factors of 95692 that divides 95688 without a remainder.

1, 2, 4, 47, 94, 188, 509, 1018, 2036, 23923, 47846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95688 and 95692. The biggest common factor number is the GCF number.
So the greatest common factor 95688 and 95692 is 4.

Also check out the Least Common Multiple of 95688 and 95692