What is the Greatest Common Factor of 75509 and 75517?

Greatest common factor (GCF) of 75509 and 75517 is 1.

GCF(75509,75517) = 1

We will now calculate the prime factors of 75509 and 75517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75509 and 75517.

How to find the GCF of 75509 and 75517?

We will first find the prime factorization of 75509 and 75517. After we will calculate the factors of 75509 and 75517 and find the biggest common factor number .

Step-1: Prime Factorization of 75509

Prime factors of 75509 are 7, 23, 67. Prime factorization of 75509 in exponential form is:

75509 = 7² × 23¹ × 67¹

Step-2: Prime Factorization of 75517

Prime factors of 75517 are 13, 37, 157. Prime factorization of 75517 in exponential form is:

75517 = 13¹ × 37¹ × 157¹

Step-3: Factors of 75509

List of positive integer factors of 75509 that divides 75509 without a remainder.

1, 7, 23, 49, 67, 161, 469, 1127, 1541, 3283, 10787

Step-4: Factors of 75517

List of positive integer factors of 75517 that divides 75509 without a remainder.

1, 13, 37, 157, 481, 2041, 5809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75509 and 75517. The biggest common factor number is the GCF number.
So the greatest common factor 75509 and 75517 is 1.

Also check out the Least Common Multiple of 75509 and 75517