What is the Greatest Common Factor of 91296 and 91300?

Greatest common factor (GCF) of 91296 and 91300 is 4.

GCF(91296,91300) = 4

We will now calculate the prime factors of 91296 and 91300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91296 and 91300.

How to find the GCF of 91296 and 91300?

We will first find the prime factorization of 91296 and 91300. After we will calculate the factors of 91296 and 91300 and find the biggest common factor number .

Step-1: Prime Factorization of 91296

Prime factors of 91296 are 2, 3, 317. Prime factorization of 91296 in exponential form is:

91296 = 2⁵ × 3² × 317¹

Step-2: Prime Factorization of 91300

Prime factors of 91300 are 2, 5, 11, 83. Prime factorization of 91300 in exponential form is:

91300 = 2² × 5² × 11¹ × 83¹

Step-3: Factors of 91296

List of positive integer factors of 91296 that divides 91296 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288, 317, 634, 951, 1268, 1902, 2536, 2853, 3804, 5072, 5706, 7608, 10144, 11412, 15216, 22824, 30432, 45648

Step-4: Factors of 91300

List of positive integer factors of 91300 that divides 91296 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 83, 100, 110, 166, 220, 275, 332, 415, 550, 830, 913, 1100, 1660, 1826, 2075, 3652, 4150, 4565, 8300, 9130, 18260, 22825, 45650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91296 and 91300. The biggest common factor number is the GCF number.
So the greatest common factor 91296 and 91300 is 4.

Also check out the Least Common Multiple of 91296 and 91300