What is the Greatest Common Factor of 63000 and 63009?

Greatest common factor (GCF) of 63000 and 63009 is 9.

GCF(63000,63009) = 9

We will now calculate the prime factors of 63000 and 63009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63000 and 63009.

How to find the GCF of 63000 and 63009?

We will first find the prime factorization of 63000 and 63009. After we will calculate the factors of 63000 and 63009 and find the biggest common factor number .

Step-1: Prime Factorization of 63000

Prime factors of 63000 are 2, 3, 5, 7. Prime factorization of 63000 in exponential form is:

63000 = 2³ × 3² × 5³ × 7¹

Step-2: Prime Factorization of 63009

Prime factors of 63009 are 3, 7001. Prime factorization of 63009 in exponential form is:

63009 = 3² × 7001¹

Step-3: Factors of 63000

List of positive integer factors of 63000 that divides 63000 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 25, 28, 30, 35, 36, 40, 42, 45, 50, 56, 60, 63, 70, 72, 75, 84, 90, 100, 105, 120, 125, 126, 140, 150, 168, 175, 180, 200, 210, 225, 250, 252, 280, 300, 315, 350, 360, 375, 420, 450, 500, 504, 525, 600, 630, 700, 750, 840, 875, 900, 1000, 1050, 1125, 1260, 1400, 1500, 1575, 1750, 1800, 2100, 2250, 2520, 2625, 3000, 3150, 3500, 4200, 4500, 5250, 6300, 7000, 7875, 9000, 10500, 12600, 15750, 21000, 31500

Step-4: Factors of 63009

List of positive integer factors of 63009 that divides 63000 without a remainder.

1, 3, 9, 7001, 21003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63000 and 63009. The biggest common factor number is the GCF number.
So the greatest common factor 63000 and 63009 is 9.

Also check out the Least Common Multiple of 63000 and 63009