What is the Greatest Common Factor of 91984 and 92000?

Greatest common factor (GCF) of 91984 and 92000 is 16.

GCF(91984,92000) = 16

We will now calculate the prime factors of 91984 and 92000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91984 and 92000.

How to find the GCF of 91984 and 92000?

We will first find the prime factorization of 91984 and 92000. After we will calculate the factors of 91984 and 92000 and find the biggest common factor number .

Step-1: Prime Factorization of 91984

Prime factors of 91984 are 2, 5749. Prime factorization of 91984 in exponential form is:

91984 = 2⁴ × 5749¹

Step-2: Prime Factorization of 92000

Prime factors of 92000 are 2, 5, 23. Prime factorization of 92000 in exponential form is:

92000 = 2⁵ × 5³ × 23¹

Step-3: Factors of 91984

List of positive integer factors of 91984 that divides 91984 without a remainder.

1, 2, 4, 8, 16, 5749, 11498, 22996, 45992

Step-4: Factors of 92000

List of positive integer factors of 92000 that divides 91984 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 32, 40, 46, 50, 80, 92, 100, 115, 125, 160, 184, 200, 230, 250, 368, 400, 460, 500, 575, 736, 800, 920, 1000, 1150, 1840, 2000, 2300, 2875, 3680, 4000, 4600, 5750, 9200, 11500, 18400, 23000, 46000

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91984 and 92000. The biggest common factor number is the GCF number.
So the greatest common factor 91984 and 92000 is 16.

Also check out the Least Common Multiple of 91984 and 92000