What is the Greatest Common Factor of 49995 and 50015?

Greatest common factor (GCF) of 49995 and 50015 is 5.

GCF(49995,50015) = 5

We will now calculate the prime factors of 49995 and 50015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49995 and 50015.

How to find the GCF of 49995 and 50015?

We will first find the prime factorization of 49995 and 50015. After we will calculate the factors of 49995 and 50015 and find the biggest common factor number .

Step-1: Prime Factorization of 49995

Prime factors of 49995 are 3, 5, 11, 101. Prime factorization of 49995 in exponential form is:

49995 = 3² × 5¹ × 11¹ × 101¹

Step-2: Prime Factorization of 50015

Prime factors of 50015 are 5, 7, 1429. Prime factorization of 50015 in exponential form is:

50015 = 5¹ × 7¹ × 1429¹

Step-3: Factors of 49995

List of positive integer factors of 49995 that divides 49995 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 101, 165, 303, 495, 505, 909, 1111, 1515, 3333, 4545, 5555, 9999, 16665

Step-4: Factors of 50015

List of positive integer factors of 50015 that divides 49995 without a remainder.

1, 5, 7, 35, 1429, 7145, 10003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49995 and 50015. The biggest common factor number is the GCF number.
So the greatest common factor 49995 and 50015 is 5.

Also check out the Least Common Multiple of 49995 and 50015