What is the Greatest Common Factor of 91280 and 91300?

Greatest common factor (GCF) of 91280 and 91300 is 20.

GCF(91280,91300) = 20

We will now calculate the prime factors of 91280 and 91300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91280 and 91300.

How to find the GCF of 91280 and 91300?

We will first find the prime factorization of 91280 and 91300. After we will calculate the factors of 91280 and 91300 and find the biggest common factor number .

Step-1: Prime Factorization of 91280

Prime factors of 91280 are 2, 5, 7, 163. Prime factorization of 91280 in exponential form is:

91280 = 2⁴ × 5¹ × 7¹ × 163¹

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 91280

List of positive integer factors of 91280 that divides 91280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 163, 280, 326, 560, 652, 815, 1141, 1304, 1630, 2282, 2608, 3260, 4564, 5705, 6520, 9128, 11410, 13040, 18256, 22820, 45640

Step-4: Factors of 91300

List of positive integer factors of 91300 that divides 91280 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 91280 and 91300. The biggest common factor number is the GCF number.
So the greatest common factor 91280 and 91300 is 20.

Also check out the Least Common Multiple of 91280 and 91300