What is the Greatest Common Factor of 74326 and 74333?

Greatest common factor (GCF) of 74326 and 74333 is 7.

GCF(74326,74333) = 7

We will now calculate the prime factors of 74326 and 74333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74326 and 74333.

How to find the GCF of 74326 and 74333?

We will first find the prime factorization of 74326 and 74333. After we will calculate the factors of 74326 and 74333 and find the biggest common factor number .

Step-1: Prime Factorization of 74326

Prime factors of 74326 are 2, 7, 5309. Prime factorization of 74326 in exponential form is:

74326 = 2¹ × 7¹ × 5309¹

Step-2: Prime Factorization of 74333

Prime factors of 74333 are 7, 37, 41. Prime factorization of 74333 in exponential form is:

74333 = 7² × 37¹ × 41¹

Step-3: Factors of 74326

List of positive integer factors of 74326 that divides 74326 without a remainder.

1, 2, 7, 14, 5309, 10618, 37163

Step-4: Factors of 74333

List of positive integer factors of 74333 that divides 74326 without a remainder.

1, 7, 37, 41, 49, 259, 287, 1517, 1813, 2009, 10619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74326 and 74333. The biggest common factor number is the GCF number.
So the greatest common factor 74326 and 74333 is 7.

Also check out the Least Common Multiple of 74326 and 74333