What is the Greatest Common Factor of 74349 and 74358?

Greatest common factor (GCF) of 74349 and 74358 is 9.

GCF(74349,74358) = 9

We will now calculate the prime factors of 74349 and 74358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74349 and 74358.

How to find the GCF of 74349 and 74358?

We will first find the prime factorization of 74349 and 74358. After we will calculate the factors of 74349 and 74358 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 74358

Prime factors of 74358 are 2, 3, 17. Prime factorization of 74358 in exponential form is:

74358 = 2¹ × 3⁷ × 17¹

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 74358

List of positive integer factors of 74358 that divides 74349 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 243, 306, 459, 486, 729, 918, 1377, 1458, 2187, 2754, 4131, 4374, 8262, 12393, 24786, 37179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74349 and 74358. The biggest common factor number is the GCF number.
So the greatest common factor 74349 and 74358 is 9.

Also check out the Least Common Multiple of 74349 and 74358