What is the Greatest Common Factor of 91013 and 91026?

Greatest common factor (GCF) of 91013 and 91026 is 13.

GCF(91013,91026) = 13

We will now calculate the prime factors of 91013 and 91026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91013 and 91026.

How to find the GCF of 91013 and 91026?

We will first find the prime factorization of 91013 and 91026. After we will calculate the factors of 91013 and 91026 and find the biggest common factor number .

Step-1: Prime Factorization of 91013

Prime factors of 91013 are 13, 7001. Prime factorization of 91013 in exponential form is:

91013 = 13¹ × 7001¹

Step-2: Prime Factorization of 91026

Prime factors of 91026 are 2, 3, 13, 389. Prime factorization of 91026 in exponential form is:

91026 = 2¹ × 3² × 13¹ × 389¹

Step-3: Factors of 91013

List of positive integer factors of 91013 that divides 91013 without a remainder.

1, 13, 7001

Step-4: Factors of 91026

List of positive integer factors of 91026 that divides 91013 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 389, 778, 1167, 2334, 3501, 5057, 7002, 10114, 15171, 30342, 45513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91013 and 91026. The biggest common factor number is the GCF number.
So the greatest common factor 91013 and 91026 is 13.

Also check out the Least Common Multiple of 91013 and 91026