What is the Greatest Common Factor of 75491 and 75509?

Greatest common factor (GCF) of 75491 and 75509 is 1.

GCF(75491,75509) = 1

We will now calculate the prime factors of 75491 and 75509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75491 and 75509.

How to find the GCF of 75491 and 75509?

We will first find the prime factorization of 75491 and 75509. After we will calculate the factors of 75491 and 75509 and find the biggest common factor number .

Step-1: Prime Factorization of 75491

Prime factors of 75491 are 13, 5807. Prime factorization of 75491 in exponential form is:

75491 = 13¹ × 5807¹

Step-2: 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-3: Factors of 75491

List of positive integer factors of 75491 that divides 75491 without a remainder.

1, 13, 5807

Step-4: Factors of 75509

List of positive integer factors of 75509 that divides 75491 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75491 and 75509. The biggest common factor number is the GCF number.
So the greatest common factor 75491 and 75509 is 1.

Also check out the Least Common Multiple of 75491 and 75509