What is the Greatest Common Factor of 49500 and 49511?

Greatest common factor (GCF) of 49500 and 49511 is 11.

GCF(49500,49511) = 11

We will now calculate the prime factors of 49500 and 49511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49500 and 49511.

How to find the GCF of 49500 and 49511?

We will first find the prime factorization of 49500 and 49511. After we will calculate the factors of 49500 and 49511 and find the biggest common factor number .

Step-1: Prime Factorization of 49500

Prime factors of 49500 are 2, 3, 5, 11. Prime factorization of 49500 in exponential form is:

49500 = 2² × 3² × 5³ × 11¹

Step-2: Prime Factorization of 49511

Prime factors of 49511 are 7, 11, 643. Prime factorization of 49511 in exponential form is:

49511 = 7¹ × 11¹ × 643¹

Step-3: Factors of 49500

List of positive integer factors of 49500 that divides 49500 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 125, 132, 150, 165, 180, 198, 220, 225, 250, 275, 300, 330, 375, 396, 450, 495, 500, 550, 660, 750, 825, 900, 990, 1100, 1125, 1375, 1500, 1650, 1980, 2250, 2475, 2750, 3300, 4125, 4500, 4950, 5500, 8250, 9900, 12375, 16500, 24750

Step-4: Factors of 49511

List of positive integer factors of 49511 that divides 49500 without a remainder.

1, 7, 11, 77, 643, 4501, 7073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49500 and 49511. The biggest common factor number is the GCF number.
So the greatest common factor 49500 and 49511 is 11.

Also check out the Least Common Multiple of 49500 and 49511