What is the Greatest Common Factor of 75495 and 75509?

Greatest common factor (GCF) of 75495 and 75509 is 7.

GCF(75495,75509) = 7

We will now calculate the prime factors of 75495 and 75509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75495 and 75509.

How to find the GCF of 75495 and 75509?

We will first find the prime factorization of 75495 and 75509. After we will calculate the factors of 75495 and 75509 and find the biggest common factor number .

Step-1: Prime Factorization of 75495

Prime factors of 75495 are 3, 5, 7, 719. Prime factorization of 75495 in exponential form is:

75495 = 3¹ × 5¹ × 7¹ × 719¹

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 75495

List of positive integer factors of 75495 that divides 75495 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 719, 2157, 3595, 5033, 10785, 15099, 25165

Step-4: Factors of 75509

List of positive integer factors of 75509 that divides 75495 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 75495 and 75509. The biggest common factor number is the GCF number.
So the greatest common factor 75495 and 75509 is 7.

Also check out the Least Common Multiple of 75495 and 75509