What is the Greatest Common Factor of 74349 and 74365?

Greatest common factor (GCF) of 74349 and 74365 is 1.

GCF(74349,74365) = 1

We will now calculate the prime factors of 74349 and 74365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74349 and 74365.

How to find the GCF of 74349 and 74365?

We will first find the prime factorization of 74349 and 74365. After we will calculate the factors of 74349 and 74365 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74365

Prime factors of 74365 are 5, 107, 139. Prime factorization of 74365 in exponential form is:

74365 = 5¹ × 107¹ × 139¹

Step-3: Factors of 74349

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

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

Step-4: Factors of 74365

List of positive integer factors of 74365 that divides 74349 without a remainder.

1, 5, 107, 139, 535, 695, 14873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74349 and 74365. The biggest common factor number is the GCF number.
So the greatest common factor 74349 and 74365 is 1.

Also check out the Least Common Multiple of 74349 and 74365