What is the Greatest Common Factor of 91704 and 91712?

Greatest common factor (GCF) of 91704 and 91712 is 8.

GCF(91704,91712) = 8

We will now calculate the prime factors of 91704 and 91712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91704 and 91712.

How to find the GCF of 91704 and 91712?

We will first find the prime factorization of 91704 and 91712. After we will calculate the factors of 91704 and 91712 and find the biggest common factor number .

Step-1: Prime Factorization of 91704

Prime factors of 91704 are 2, 3, 3821. Prime factorization of 91704 in exponential form is:

91704 = 2³ × 3¹ × 3821¹

Step-2: Prime Factorization of 91712

Prime factors of 91712 are 2, 1433. Prime factorization of 91712 in exponential form is:

91712 = 2⁶ × 1433¹

Step-3: Factors of 91704

List of positive integer factors of 91704 that divides 91704 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3821, 7642, 11463, 15284, 22926, 30568, 45852

Step-4: Factors of 91712

List of positive integer factors of 91712 that divides 91704 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1433, 2866, 5732, 11464, 22928, 45856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91704 and 91712. The biggest common factor number is the GCF number.
So the greatest common factor 91704 and 91712 is 8.

Also check out the Least Common Multiple of 91704 and 91712