What is the Greatest Common Factor of 74336 and 74349?

Greatest common factor (GCF) of 74336 and 74349 is 1.

GCF(74336,74349) = 1

We will now calculate the prime factors of 74336 and 74349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74336 and 74349.

How to find the GCF of 74336 and 74349?

We will first find the prime factorization of 74336 and 74349. After we will calculate the factors of 74336 and 74349 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 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 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 74349

List of positive integer factors of 74349 that divides 74336 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 74336 and 74349. The biggest common factor number is the GCF number.
So the greatest common factor 74336 and 74349 is 1.

Also check out the Least Common Multiple of 74336 and 74349