What is the Greatest Common Factor of 87989 and 88000?

Greatest common factor (GCF) of 87989 and 88000 is 11.

GCF(87989,88000) = 11

We will now calculate the prime factors of 87989 and 88000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87989 and 88000.

How to find the GCF of 87989 and 88000?

We will first find the prime factorization of 87989 and 88000. After we will calculate the factors of 87989 and 88000 and find the biggest common factor number .

Step-1: Prime Factorization of 87989

Prime factors of 87989 are 11, 19, 421. Prime factorization of 87989 in exponential form is:

87989 = 11¹ × 19¹ × 421¹

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 87989

List of positive integer factors of 87989 that divides 87989 without a remainder.

1, 11, 19, 209, 421, 4631, 7999

Step-4: Factors of 88000

List of positive integer factors of 88000 that divides 87989 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 87989 and 88000. The biggest common factor number is the GCF number.
So the greatest common factor 87989 and 88000 is 11.

Also check out the Least Common Multiple of 87989 and 88000