What is the Greatest Common Factor of 91000 and 91005?

Greatest common factor (GCF) of 91000 and 91005 is 5.

GCF(91000,91005) = 5

We will now calculate the prime factors of 91000 and 91005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91000 and 91005.

How to find the GCF of 91000 and 91005?

We will first find the prime factorization of 91000 and 91005. After we will calculate the factors of 91000 and 91005 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 91005

Prime factors of 91005 are 3, 5, 6067. Prime factorization of 91005 in exponential form is:

91005 = 3¹ × 5¹ × 6067¹

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 91005

List of positive integer factors of 91005 that divides 91000 without a remainder.

1, 3, 5, 15, 6067, 18201, 30335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91000 and 91005. The biggest common factor number is the GCF number.
So the greatest common factor 91000 and 91005 is 5.

Also check out the Least Common Multiple of 91000 and 91005