What is the Greatest Common Factor of 49500 and 49515?

Greatest common factor (GCF) of 49500 and 49515 is 15.

GCF(49500,49515) = 15

We will now calculate the prime factors of 49500 and 49515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49500 and 49515.

How to find the GCF of 49500 and 49515?

We will first find the prime factorization of 49500 and 49515. After we will calculate the factors of 49500 and 49515 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 49515

Prime factors of 49515 are 3, 5, 3301. Prime factorization of 49515 in exponential form is:

49515 = 3¹ × 5¹ × 3301¹

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 49515

List of positive integer factors of 49515 that divides 49500 without a remainder.

1, 3, 5, 15, 3301, 9903, 16505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49500 and 49515. The biggest common factor number is the GCF number.
So the greatest common factor 49500 and 49515 is 15.

Also check out the Least Common Multiple of 49500 and 49515