What is the Greatest Common Factor of 93423 and 93435?

Greatest common factor (GCF) of 93423 and 93435 is 3.

GCF(93423,93435) = 3

We will now calculate the prime factors of 93423 and 93435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93423 and 93435.

How to find the GCF of 93423 and 93435?

We will first find the prime factorization of 93423 and 93435. After we will calculate the factors of 93423 and 93435 and find the biggest common factor number .

Step-1: Prime Factorization of 93423

Prime factors of 93423 are 3, 11, 19, 149. Prime factorization of 93423 in exponential form is:

93423 = 3¹ × 11¹ × 19¹ × 149¹

Step-2: Prime Factorization of 93435

Prime factors of 93435 are 3, 5, 6229. Prime factorization of 93435 in exponential form is:

93435 = 3¹ × 5¹ × 6229¹

Step-3: Factors of 93423

List of positive integer factors of 93423 that divides 93423 without a remainder.

1, 3, 11, 19, 33, 57, 149, 209, 447, 627, 1639, 2831, 4917, 8493, 31141

Step-4: Factors of 93435

List of positive integer factors of 93435 that divides 93423 without a remainder.

1, 3, 5, 15, 6229, 18687, 31145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93423 and 93435. The biggest common factor number is the GCF number.
So the greatest common factor 93423 and 93435 is 3.

Also check out the Least Common Multiple of 93423 and 93435