What is the Greatest Common Factor of 87985 and 88000?

Greatest common factor (GCF) of 87985 and 88000 is 5.

GCF(87985,88000) = 5

We will now calculate the prime factors of 87985 and 88000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87985 and 88000.

How to find the GCF of 87985 and 88000?

We will first find the prime factorization of 87985 and 88000. After we will calculate the factors of 87985 and 88000 and find the biggest common factor number .

Step-1: Prime Factorization of 87985

Prime factors of 87985 are 5, 17597. Prime factorization of 87985 in exponential form is:

87985 = 5¹ × 17597¹

Step-2: Prime Factorization of 88000

Prime factors of 88000 are 2, 5, 11. Prime factorization of 88000 in exponential form is:

88000 = 2⁶ × 5³ × 11¹

Step-3: Factors of 87985

List of positive integer factors of 87985 that divides 87985 without a remainder.

1, 5, 17597

Step-4: Factors of 88000

List of positive integer factors of 88000 that divides 87985 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 64, 80, 88, 100, 110, 125, 160, 176, 200, 220, 250, 275, 320, 352, 400, 440, 500, 550, 704, 800, 880, 1000, 1100, 1375, 1600, 1760, 2000, 2200, 2750, 3520, 4000, 4400, 5500, 8000, 8800, 11000, 17600, 22000, 44000

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87985 and 88000. The biggest common factor number is the GCF number.
So the greatest common factor 87985 and 88000 is 5.

Also check out the Least Common Multiple of 87985 and 88000