What is the Greatest Common Factor of 75501 and 75510?

Greatest common factor (GCF) of 75501 and 75510 is 9.

GCF(75501,75510) = 9

We will now calculate the prime factors of 75501 and 75510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75501 and 75510.

How to find the GCF of 75501 and 75510?

We will first find the prime factorization of 75501 and 75510. After we will calculate the factors of 75501 and 75510 and find the biggest common factor number .

Step-1: Prime Factorization of 75501

Prime factors of 75501 are 3, 8389. Prime factorization of 75501 in exponential form is:

75501 = 3² × 8389¹

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 75501

List of positive integer factors of 75501 that divides 75501 without a remainder.

1, 3, 9, 8389, 25167

Step-4: Factors of 75510

List of positive integer factors of 75510 that divides 75501 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 75501 and 75510. The biggest common factor number is the GCF number.
So the greatest common factor 75501 and 75510 is 9.

Also check out the Least Common Multiple of 75501 and 75510