What is the Greatest Common Factor of 91390 and 91403?

Greatest common factor (GCF) of 91390 and 91403 is 13.

GCF(91390,91403) = 13

We will now calculate the prime factors of 91390 and 91403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91390 and 91403.

How to find the GCF of 91390 and 91403?

We will first find the prime factorization of 91390 and 91403. After we will calculate the factors of 91390 and 91403 and find the biggest common factor number .

Step-1: Prime Factorization of 91390

Prime factors of 91390 are 2, 5, 13, 19, 37. Prime factorization of 91390 in exponential form is:

91390 = 2¹ × 5¹ × 13¹ × 19¹ × 37¹

Step-2: Prime Factorization of 91403

Prime factors of 91403 are 13, 79, 89. Prime factorization of 91403 in exponential form is:

91403 = 13¹ × 79¹ × 89¹

Step-3: Factors of 91390

List of positive integer factors of 91390 that divides 91390 without a remainder.

1, 2, 5, 10, 13, 19, 26, 37, 38, 65, 74, 95, 130, 185, 190, 247, 370, 481, 494, 703, 962, 1235, 1406, 2405, 2470, 3515, 4810, 7030, 9139, 18278, 45695

Step-4: Factors of 91403

List of positive integer factors of 91403 that divides 91390 without a remainder.

1, 13, 79, 89, 1027, 1157, 7031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91390 and 91403. The biggest common factor number is the GCF number.
So the greatest common factor 91390 and 91403 is 13.

Also check out the Least Common Multiple of 91390 and 91403