What is the Greatest Common Factor of 94509 and 94521?

Greatest common factor (GCF) of 94509 and 94521 is 3.

GCF(94509,94521) = 3

We will now calculate the prime factors of 94509 and 94521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94509 and 94521.

How to find the GCF of 94509 and 94521?

We will first find the prime factorization of 94509 and 94521. After we will calculate the factors of 94509 and 94521 and find the biggest common factor number .

Step-1: Prime Factorization of 94509

Prime factors of 94509 are 3, 10501. Prime factorization of 94509 in exponential form is:

94509 = 3² × 10501¹

Step-2: Prime Factorization of 94521

Prime factors of 94521 are 3, 7, 643. Prime factorization of 94521 in exponential form is:

94521 = 3¹ × 7² × 643¹

Step-3: Factors of 94509

List of positive integer factors of 94509 that divides 94509 without a remainder.

1, 3, 9, 10501, 31503

Step-4: Factors of 94521

List of positive integer factors of 94521 that divides 94509 without a remainder.

1, 3, 7, 21, 49, 147, 643, 1929, 4501, 13503, 31507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94509 and 94521. The biggest common factor number is the GCF number.
So the greatest common factor 94509 and 94521 is 3.

Also check out the Least Common Multiple of 94509 and 94521