What is the Greatest Common Factor of 75500 and 75514?

Greatest common factor (GCF) of 75500 and 75514 is 2.

GCF(75500,75514) = 2

We will now calculate the prime factors of 75500 and 75514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75500 and 75514.

How to find the GCF of 75500 and 75514?

We will first find the prime factorization of 75500 and 75514. After we will calculate the factors of 75500 and 75514 and find the biggest common factor number .

Step-1: Prime Factorization of 75500

Prime factors of 75500 are 2, 5, 151. Prime factorization of 75500 in exponential form is:

75500 = 2² × 5³ × 151¹

Step-2: Prime Factorization of 75514

Prime factors of 75514 are 2, 17, 2221. Prime factorization of 75514 in exponential form is:

75514 = 2¹ × 17¹ × 2221¹

Step-3: Factors of 75500

List of positive integer factors of 75500 that divides 75500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 151, 250, 302, 500, 604, 755, 1510, 3020, 3775, 7550, 15100, 18875, 37750

Step-4: Factors of 75514

List of positive integer factors of 75514 that divides 75500 without a remainder.

1, 2, 17, 34, 2221, 4442, 37757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75500 and 75514. The biggest common factor number is the GCF number.
So the greatest common factor 75500 and 75514 is 2.

Also check out the Least Common Multiple of 75500 and 75514