What is the Greatest Common Factor of 91003 and 91014?

Greatest common factor (GCF) of 91003 and 91014 is 11.

GCF(91003,91014) = 11

We will now calculate the prime factors of 91003 and 91014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91003 and 91014.

How to find the GCF of 91003 and 91014?

We will first find the prime factorization of 91003 and 91014. After we will calculate the factors of 91003 and 91014 and find the biggest common factor number .

Step-1: Prime Factorization of 91003

Prime factors of 91003 are 11, 8273. Prime factorization of 91003 in exponential form is:

91003 = 11¹ × 8273¹

Step-2: Prime Factorization of 91014

Prime factors of 91014 are 2, 3, 7, 11, 197. Prime factorization of 91014 in exponential form is:

91014 = 2¹ × 3¹ × 7¹ × 11¹ × 197¹

Step-3: Factors of 91003

List of positive integer factors of 91003 that divides 91003 without a remainder.

1, 11, 8273

Step-4: Factors of 91014

List of positive integer factors of 91014 that divides 91003 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 197, 231, 394, 462, 591, 1182, 1379, 2167, 2758, 4137, 4334, 6501, 8274, 13002, 15169, 30338, 45507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91003 and 91014. The biggest common factor number is the GCF number.
So the greatest common factor 91003 and 91014 is 11.

Also check out the Least Common Multiple of 91003 and 91014