What is the Greatest Common Factor of 88000 and 88020?

Greatest common factor (GCF) of 88000 and 88020 is 20.

GCF(88000,88020) = 20

We will now calculate the prime factors of 88000 and 88020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88000 and 88020.

How to find the GCF of 88000 and 88020?

We will first find the prime factorization of 88000 and 88020. After we will calculate the factors of 88000 and 88020 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88020

Prime factors of 88020 are 2, 3, 5, 163. Prime factorization of 88020 in exponential form is:

88020 = 2² × 3³ × 5¹ × 163¹

Step-3: Factors of 88000

List of positive integer factors of 88000 that divides 88000 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

Step-4: Factors of 88020

List of positive integer factors of 88020 that divides 88000 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 163, 180, 270, 326, 489, 540, 652, 815, 978, 1467, 1630, 1956, 2445, 2934, 3260, 4401, 4890, 5868, 7335, 8802, 9780, 14670, 17604, 22005, 29340, 44010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88000 and 88020. The biggest common factor number is the GCF number.
So the greatest common factor 88000 and 88020 is 20.

Also check out the Least Common Multiple of 88000 and 88020