What is the Greatest Common Factor of 49489 and 49500?

Greatest common factor (GCF) of 49489 and 49500 is 11.

GCF(49489,49500) = 11

We will now calculate the prime factors of 49489 and 49500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49489 and 49500.

How to find the GCF of 49489 and 49500?

We will first find the prime factorization of 49489 and 49500. After we will calculate the factors of 49489 and 49500 and find the biggest common factor number .

Step-1: Prime Factorization of 49489

Prime factors of 49489 are 11, 409. Prime factorization of 49489 in exponential form is:

49489 = 11² × 409¹

Step-2: 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-3: Factors of 49489

List of positive integer factors of 49489 that divides 49489 without a remainder.

1, 11, 121, 409, 4499

Step-4: Factors of 49500

List of positive integer factors of 49500 that divides 49489 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49489 and 49500. The biggest common factor number is the GCF number.
So the greatest common factor 49489 and 49500 is 11.

Also check out the Least Common Multiple of 49489 and 49500