What is the Greatest Common Factor of 74336 and 74353?

Greatest common factor (GCF) of 74336 and 74353 is 1.

GCF(74336,74353) = 1

We will now calculate the prime factors of 74336 and 74353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74336 and 74353.

How to find the GCF of 74336 and 74353?

We will first find the prime factorization of 74336 and 74353. After we will calculate the factors of 74336 and 74353 and find the biggest common factor number .

Step-1: Prime Factorization of 74336

Prime factors of 74336 are 2, 23, 101. Prime factorization of 74336 in exponential form is:

74336 = 2⁵ × 23¹ × 101¹

Step-2: Prime Factorization of 74353

Prime factors of 74353 are 74353. Prime factorization of 74353 in exponential form is:

74353 = 74353¹

Step-3: Factors of 74336

List of positive integer factors of 74336 that divides 74336 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 101, 184, 202, 368, 404, 736, 808, 1616, 2323, 3232, 4646, 9292, 18584, 37168

Step-4: Factors of 74353

List of positive integer factors of 74353 that divides 74336 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74336 and 74353. The biggest common factor number is the GCF number.
So the greatest common factor 74336 and 74353 is 1.

Also check out the Least Common Multiple of 74336 and 74353