What is the Greatest Common Factor of 91248 and 91254?

Greatest common factor (GCF) of 91248 and 91254 is 6.

GCF(91248,91254) = 6

We will now calculate the prime factors of 91248 and 91254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91248 and 91254.

How to find the GCF of 91248 and 91254?

We will first find the prime factorization of 91248 and 91254. After we will calculate the factors of 91248 and 91254 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91254

Prime factors of 91254 are 2, 3, 67, 227. Prime factorization of 91254 in exponential form is:

91254 = 2¹ × 3¹ × 67¹ × 227¹

Step-3: Factors of 91248

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

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

Step-4: Factors of 91254

List of positive integer factors of 91254 that divides 91248 without a remainder.

1, 2, 3, 6, 67, 134, 201, 227, 402, 454, 681, 1362, 15209, 30418, 45627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91248 and 91254. The biggest common factor number is the GCF number.
So the greatest common factor 91248 and 91254 is 6.

Also check out the Least Common Multiple of 91248 and 91254