What is the Greatest Common Factor of 63000 and 63020?

Greatest common factor (GCF) of 63000 and 63020 is 20.

GCF(63000,63020) = 20

We will now calculate the prime factors of 63000 and 63020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63000 and 63020.

How to find the GCF of 63000 and 63020?

We will first find the prime factorization of 63000 and 63020. After we will calculate the factors of 63000 and 63020 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 63020

Prime factors of 63020 are 2, 5, 23, 137. Prime factorization of 63020 in exponential form is:

63020 = 2² × 5¹ × 23¹ × 137¹

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 63020

List of positive integer factors of 63020 that divides 63000 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 137, 230, 274, 460, 548, 685, 1370, 2740, 3151, 6302, 12604, 15755, 31510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63000 and 63020. The biggest common factor number is the GCF number.
So the greatest common factor 63000 and 63020 is 20.

Also check out the Least Common Multiple of 63000 and 63020