What is the Greatest Common Factor of 87990 and 88000?

Greatest common factor (GCF) of 87990 and 88000 is 10.

GCF(87990,88000) = 10

We will now calculate the prime factors of 87990 and 88000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87990 and 88000.

How to find the GCF of 87990 and 88000?

We will first find the prime factorization of 87990 and 88000. After we will calculate the factors of 87990 and 88000 and find the biggest common factor number .

Step-1: Prime Factorization of 87990

Prime factors of 87990 are 2, 3, 5, 7, 419. Prime factorization of 87990 in exponential form is:

87990 = 2¹ × 3¹ × 5¹ × 7¹ × 419¹

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 87990

List of positive integer factors of 87990 that divides 87990 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 419, 838, 1257, 2095, 2514, 2933, 4190, 5866, 6285, 8799, 12570, 14665, 17598, 29330, 43995

Step-4: Factors of 88000

List of positive integer factors of 88000 that divides 87990 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 87990 and 88000. The biggest common factor number is the GCF number.
So the greatest common factor 87990 and 88000 is 10.

Also check out the Least Common Multiple of 87990 and 88000