What is the Greatest Common Factor of 83992 and 84000?

Greatest common factor (GCF) of 83992 and 84000 is 8.

GCF(83992,84000) = 8

We will now calculate the prime factors of 83992 and 84000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83992 and 84000.

How to find the GCF of 83992 and 84000?

We will first find the prime factorization of 83992 and 84000. After we will calculate the factors of 83992 and 84000 and find the biggest common factor number .

Step-1: Prime Factorization of 83992

Prime factors of 83992 are 2, 10499. Prime factorization of 83992 in exponential form is:

83992 = 2³ × 10499¹

Step-2: Prime Factorization of 84000

Prime factors of 84000 are 2, 3, 5, 7. Prime factorization of 84000 in exponential form is:

84000 = 2⁵ × 3¹ × 5³ × 7¹

Step-3: Factors of 83992

List of positive integer factors of 83992 that divides 83992 without a remainder.

1, 2, 4, 8, 10499, 20998, 41996

Step-4: Factors of 84000

List of positive integer factors of 84000 that divides 83992 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 32, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 96, 100, 105, 112, 120, 125, 140, 150, 160, 168, 175, 200, 210, 224, 240, 250, 280, 300, 336, 350, 375, 400, 420, 480, 500, 525, 560, 600, 672, 700, 750, 800, 840, 875, 1000, 1050, 1120, 1200, 1400, 1500, 1680, 1750, 2000, 2100, 2400, 2625, 2800, 3000, 3360, 3500, 4000, 4200, 5250, 5600, 6000, 7000, 8400, 10500, 12000, 14000, 16800, 21000, 28000, 42000

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83992 and 84000. The biggest common factor number is the GCF number.
So the greatest common factor 83992 and 84000 is 8.

Also check out the Least Common Multiple of 83992 and 84000