What is the Greatest Common Factor of 94395 and 94409?

Greatest common factor (GCF) of 94395 and 94409 is 7.

GCF(94395,94409) = 7

We will now calculate the prime factors of 94395 and 94409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94395 and 94409.

How to find the GCF of 94395 and 94409?

We will first find the prime factorization of 94395 and 94409. After we will calculate the factors of 94395 and 94409 and find the biggest common factor number .

Step-1: Prime Factorization of 94395

Prime factors of 94395 are 3, 5, 7, 29, 31. Prime factorization of 94395 in exponential form is:

94395 = 3¹ × 5¹ × 7¹ × 29¹ × 31¹

Step-2: Prime Factorization of 94409

Prime factors of 94409 are 7, 13487. Prime factorization of 94409 in exponential form is:

94409 = 7¹ × 13487¹

Step-3: Factors of 94395

List of positive integer factors of 94395 that divides 94395 without a remainder.

1, 3, 5, 7, 15, 21, 29, 31, 35, 87, 93, 105, 145, 155, 203, 217, 435, 465, 609, 651, 899, 1015, 1085, 2697, 3045, 3255, 4495, 6293, 13485, 18879, 31465

Step-4: Factors of 94409

List of positive integer factors of 94409 that divides 94395 without a remainder.

1, 7, 13487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94395 and 94409. The biggest common factor number is the GCF number.
So the greatest common factor 94395 and 94409 is 7.

Also check out the Least Common Multiple of 94395 and 94409