What is the Greatest Common Factor of 90986 and 91000?

Greatest common factor (GCF) of 90986 and 91000 is 14.

GCF(90986,91000) = 14

We will now calculate the prime factors of 90986 and 91000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90986 and 91000.

How to find the GCF of 90986 and 91000?

We will first find the prime factorization of 90986 and 91000. After we will calculate the factors of 90986 and 91000 and find the biggest common factor number .

Step-1: Prime Factorization of 90986

Prime factors of 90986 are 2, 7, 67, 97. Prime factorization of 90986 in exponential form is:

90986 = 2¹ × 7¹ × 67¹ × 97¹

Step-2: 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-3: Factors of 90986

List of positive integer factors of 90986 that divides 90986 without a remainder.

1, 2, 7, 14, 67, 97, 134, 194, 469, 679, 938, 1358, 6499, 12998, 45493

Step-4: Factors of 91000

List of positive integer factors of 91000 that divides 90986 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90986 and 91000. The biggest common factor number is the GCF number.
So the greatest common factor 90986 and 91000 is 14.

Also check out the Least Common Multiple of 90986 and 91000