What is the Greatest Common Factor of 74343 and 74349?

Greatest common factor (GCF) of 74343 and 74349 is 3.

GCF(74343,74349) = 3

We will now calculate the prime factors of 74343 and 74349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74343 and 74349.

How to find the GCF of 74343 and 74349?

We will first find the prime factorization of 74343 and 74349. After we will calculate the factors of 74343 and 74349 and find the biggest common factor number .

Step-1: Prime Factorization of 74343

Prime factors of 74343 are 3, 24781. Prime factorization of 74343 in exponential form is:

74343 = 3¹ × 24781¹

Step-2: Prime Factorization of 74349

Prime factors of 74349 are 3, 11, 751. Prime factorization of 74349 in exponential form is:

74349 = 3² × 11¹ × 751¹

Step-3: Factors of 74343

List of positive integer factors of 74343 that divides 74343 without a remainder.

1, 3, 24781

Step-4: Factors of 74349

List of positive integer factors of 74349 that divides 74343 without a remainder.

1, 3, 9, 11, 33, 99, 751, 2253, 6759, 8261, 24783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74343 and 74349. The biggest common factor number is the GCF number.
So the greatest common factor 74343 and 74349 is 3.

Also check out the Least Common Multiple of 74343 and 74349