What is the Greatest Common Factor of 91776 and 91782?

Greatest common factor (GCF) of 91776 and 91782 is 6.

GCF(91776,91782) = 6

We will now calculate the prime factors of 91776 and 91782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91776 and 91782.

How to find the GCF of 91776 and 91782?

We will first find the prime factorization of 91776 and 91782. After we will calculate the factors of 91776 and 91782 and find the biggest common factor number .

Step-1: Prime Factorization of 91776

Prime factors of 91776 are 2, 3, 239. Prime factorization of 91776 in exponential form is:

91776 = 2⁷ × 3¹ × 239¹

Step-2: Prime Factorization of 91782

Prime factors of 91782 are 2, 3, 5099. Prime factorization of 91782 in exponential form is:

91782 = 2¹ × 3² × 5099¹

Step-3: Factors of 91776

List of positive integer factors of 91776 that divides 91776 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 239, 384, 478, 717, 956, 1434, 1912, 2868, 3824, 5736, 7648, 11472, 15296, 22944, 30592, 45888

Step-4: Factors of 91782

List of positive integer factors of 91782 that divides 91776 without a remainder.

1, 2, 3, 6, 9, 18, 5099, 10198, 15297, 30594, 45891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91776 and 91782. The biggest common factor number is the GCF number.
So the greatest common factor 91776 and 91782 is 6.

Also check out the Least Common Multiple of 91776 and 91782