What is the Greatest Common Factor of 91007 and 91014?

Greatest common factor (GCF) of 91007 and 91014 is 7.

GCF(91007,91014) = 7

We will now calculate the prime factors of 91007 and 91014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91007 and 91014.

How to find the GCF of 91007 and 91014?

We will first find the prime factorization of 91007 and 91014. After we will calculate the factors of 91007 and 91014 and find the biggest common factor number .

Step-1: Prime Factorization of 91007

Prime factors of 91007 are 7, 13001. Prime factorization of 91007 in exponential form is:

91007 = 7¹ × 13001¹

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 91007

List of positive integer factors of 91007 that divides 91007 without a remainder.

1, 7, 13001

Step-4: Factors of 91014

List of positive integer factors of 91014 that divides 91007 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 91007 and 91014. The biggest common factor number is the GCF number.
So the greatest common factor 91007 and 91014 is 7.

Also check out the Least Common Multiple of 91007 and 91014