What is the Greatest Common Factor of 91472 and 91488?

Greatest common factor (GCF) of 91472 and 91488 is 16.

GCF(91472,91488) = 16

We will now calculate the prime factors of 91472 and 91488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91472 and 91488.

How to find the GCF of 91472 and 91488?

We will first find the prime factorization of 91472 and 91488. After we will calculate the factors of 91472 and 91488 and find the biggest common factor number .

Step-1: Prime Factorization of 91472

Prime factors of 91472 are 2, 5717. Prime factorization of 91472 in exponential form is:

91472 = 2⁴ × 5717¹

Step-2: Prime Factorization of 91488

Prime factors of 91488 are 2, 3, 953. Prime factorization of 91488 in exponential form is:

91488 = 2⁵ × 3¹ × 953¹

Step-3: Factors of 91472

List of positive integer factors of 91472 that divides 91472 without a remainder.

1, 2, 4, 8, 16, 5717, 11434, 22868, 45736

Step-4: Factors of 91488

List of positive integer factors of 91488 that divides 91472 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 953, 1906, 2859, 3812, 5718, 7624, 11436, 15248, 22872, 30496, 45744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91472 and 91488. The biggest common factor number is the GCF number.
So the greatest common factor 91472 and 91488 is 16.

Also check out the Least Common Multiple of 91472 and 91488