What is the Greatest Common Factor of 91239 and 91248?

Greatest common factor (GCF) of 91239 and 91248 is 3.

GCF(91239,91248) = 3

We will now calculate the prime factors of 91239 and 91248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91239 and 91248.

How to find the GCF of 91239 and 91248?

We will first find the prime factorization of 91239 and 91248. After we will calculate the factors of 91239 and 91248 and find the biggest common factor number .

Step-1: Prime Factorization of 91239

Prime factors of 91239 are 3, 17, 1789. Prime factorization of 91239 in exponential form is:

91239 = 3¹ × 17¹ × 1789¹

Step-2: Prime Factorization of 91248

Prime factors of 91248 are 2, 3, 1901. Prime factorization of 91248 in exponential form is:

91248 = 2⁴ × 3¹ × 1901¹

Step-3: Factors of 91239

List of positive integer factors of 91239 that divides 91239 without a remainder.

1, 3, 17, 51, 1789, 5367, 30413

Step-4: Factors of 91248

List of positive integer factors of 91248 that divides 91239 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1901, 3802, 5703, 7604, 11406, 15208, 22812, 30416, 45624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91239 and 91248. The biggest common factor number is the GCF number.
So the greatest common factor 91239 and 91248 is 3.

Also check out the Least Common Multiple of 91239 and 91248