What is the Greatest Common Factor of 75500 and 75510?

Greatest common factor (GCF) of 75500 and 75510 is 10.

GCF(75500,75510) = 10

We will now calculate the prime factors of 75500 and 75510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75500 and 75510.

How to find the GCF of 75500 and 75510?

We will first find the prime factorization of 75500 and 75510. After we will calculate the factors of 75500 and 75510 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 75510

Prime factors of 75510 are 2, 3, 5, 839. Prime factorization of 75510 in exponential form is:

75510 = 2¹ × 3² × 5¹ × 839¹

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 75510

List of positive integer factors of 75510 that divides 75500 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 839, 1678, 2517, 4195, 5034, 7551, 8390, 12585, 15102, 25170, 37755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75500 and 75510. The biggest common factor number is the GCF number.
So the greatest common factor 75500 and 75510 is 10.

Also check out the Least Common Multiple of 75500 and 75510