What is the Greatest Common Factor of 62994 and 63000?

Greatest common factor (GCF) of 62994 and 63000 is 6.

GCF(62994,63000) = 6

We will now calculate the prime factors of 62994 and 63000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62994 and 63000.

How to find the GCF of 62994 and 63000?

We will first find the prime factorization of 62994 and 63000. After we will calculate the factors of 62994 and 63000 and find the biggest common factor number .

Step-1: Prime Factorization of 62994

Prime factors of 62994 are 2, 3, 10499. Prime factorization of 62994 in exponential form is:

62994 = 2¹ × 3¹ × 10499¹

Step-2: 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-3: Factors of 62994

List of positive integer factors of 62994 that divides 62994 without a remainder.

1, 2, 3, 6, 10499, 20998, 31497

Step-4: Factors of 63000

List of positive integer factors of 63000 that divides 62994 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62994 and 63000. The biggest common factor number is the GCF number.
So the greatest common factor 62994 and 63000 is 6.

Also check out the Least Common Multiple of 62994 and 63000