What is the Greatest Common Factor of 91000 and 91013?

Greatest common factor (GCF) of 91000 and 91013 is 13.

GCF(91000,91013) = 13

We will now calculate the prime factors of 91000 and 91013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91000 and 91013.

How to find the GCF of 91000 and 91013?

We will first find the prime factorization of 91000 and 91013. After we will calculate the factors of 91000 and 91013 and find the biggest common factor number .

Step-1: Prime Factorization of 91000

Prime factors of 91000 are 2, 5, 7, 13. Prime factorization of 91000 in exponential form is:

91000 = 2³ × 5³ × 7¹ × 13¹

Step-2: Prime Factorization of 91013

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

91013 = 13¹ × 7001¹

Step-3: Factors of 91000

List of positive integer factors of 91000 that divides 91000 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 25, 26, 28, 35, 40, 50, 52, 56, 65, 70, 91, 100, 104, 125, 130, 140, 175, 182, 200, 250, 260, 280, 325, 350, 364, 455, 500, 520, 650, 700, 728, 875, 910, 1000, 1300, 1400, 1625, 1750, 1820, 2275, 2600, 3250, 3500, 3640, 4550, 6500, 7000, 9100, 11375, 13000, 18200, 22750, 45500

Step-4: Factors of 91013

List of positive integer factors of 91013 that divides 91000 without a remainder.

1, 13, 7001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91000 and 91013. The biggest common factor number is the GCF number.
So the greatest common factor 91000 and 91013 is 13.

Also check out the Least Common Multiple of 91000 and 91013