What is the Greatest Common Factor of 90996 and 91000?

Greatest common factor (GCF) of 90996 and 91000 is 4.

GCF(90996,91000) = 4

We will now calculate the prime factors of 90996 and 91000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90996 and 91000.

How to find the GCF of 90996 and 91000?

We will first find the prime factorization of 90996 and 91000. After we will calculate the factors of 90996 and 91000 and find the biggest common factor number .

Step-1: Prime Factorization of 90996

Prime factors of 90996 are 2, 3, 7583. Prime factorization of 90996 in exponential form is:

90996 = 2² × 3¹ × 7583¹

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 90996

List of positive integer factors of 90996 that divides 90996 without a remainder.

1, 2, 3, 4, 6, 12, 7583, 15166, 22749, 30332, 45498

Step-4: Factors of 91000

List of positive integer factors of 91000 that divides 90996 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 90996 and 91000. The biggest common factor number is the GCF number.
So the greatest common factor 90996 and 91000 is 4.

Also check out the Least Common Multiple of 90996 and 91000