What is the Greatest Common Factor of 52480 and 52500?

Greatest common factor (GCF) of 52480 and 52500 is 20.

GCF(52480,52500) = 20

We will now calculate the prime factors of 52480 and 52500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52480 and 52500.

How to find the GCF of 52480 and 52500?

We will first find the prime factorization of 52480 and 52500. After we will calculate the factors of 52480 and 52500 and find the biggest common factor number .

Step-1: Prime Factorization of 52480

Prime factors of 52480 are 2, 5, 41. Prime factorization of 52480 in exponential form is:

52480 = 2⁸ × 5¹ × 41¹

Step-2: Prime Factorization of 52500

Prime factors of 52500 are 2, 3, 5, 7. Prime factorization of 52500 in exponential form is:

52500 = 2² × 3¹ × 5⁴ × 7¹

Step-3: Factors of 52480

List of positive integer factors of 52480 that divides 52480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 64, 80, 82, 128, 160, 164, 205, 256, 320, 328, 410, 640, 656, 820, 1280, 1312, 1640, 2624, 3280, 5248, 6560, 10496, 13120, 26240

Step-4: Factors of 52500

List of positive integer factors of 52500 that divides 52480 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 125, 140, 150, 175, 210, 250, 300, 350, 375, 420, 500, 525, 625, 700, 750, 875, 1050, 1250, 1500, 1750, 1875, 2100, 2500, 2625, 3500, 3750, 4375, 5250, 7500, 8750, 10500, 13125, 17500, 26250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52480 and 52500. The biggest common factor number is the GCF number.
So the greatest common factor 52480 and 52500 is 20.

Also check out the Least Common Multiple of 52480 and 52500