What is the Greatest Common Factor of 91300 and 91310?

Greatest common factor (GCF) of 91300 and 91310 is 10.

GCF(91300,91310) = 10

We will now calculate the prime factors of 91300 and 91310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91300 and 91310.

How to find the GCF of 91300 and 91310?

We will first find the prime factorization of 91300 and 91310. After we will calculate the factors of 91300 and 91310 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91310

Prime factors of 91310 are 2, 5, 23, 397. Prime factorization of 91310 in exponential form is:

91310 = 2¹ × 5¹ × 23¹ × 397¹

Step-3: Factors of 91300

List of positive integer factors of 91300 that divides 91300 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

Step-4: Factors of 91310

List of positive integer factors of 91310 that divides 91300 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 397, 794, 1985, 3970, 9131, 18262, 45655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91300 and 91310. The biggest common factor number is the GCF number.
So the greatest common factor 91300 and 91310 is 10.

Also check out the Least Common Multiple of 91300 and 91310