What is the Greatest Common Factor of 74334 and 74347?

Greatest common factor (GCF) of 74334 and 74347 is 13.

GCF(74334,74347) = 13

We will now calculate the prime factors of 74334 and 74347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74334 and 74347.

How to find the GCF of 74334 and 74347?

We will first find the prime factorization of 74334 and 74347. After we will calculate the factors of 74334 and 74347 and find the biggest common factor number .

Step-1: Prime Factorization of 74334

Prime factors of 74334 are 2, 3, 13, 953. Prime factorization of 74334 in exponential form is:

74334 = 2¹ × 3¹ × 13¹ × 953¹

Step-2: Prime Factorization of 74347

Prime factors of 74347 are 7, 13, 19, 43. Prime factorization of 74347 in exponential form is:

74347 = 7¹ × 13¹ × 19¹ × 43¹

Step-3: Factors of 74334

List of positive integer factors of 74334 that divides 74334 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 953, 1906, 2859, 5718, 12389, 24778, 37167

Step-4: Factors of 74347

List of positive integer factors of 74347 that divides 74334 without a remainder.

1, 7, 13, 19, 43, 91, 133, 247, 301, 559, 817, 1729, 3913, 5719, 10621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74334 and 74347. The biggest common factor number is the GCF number.
So the greatest common factor 74334 and 74347 is 13.

Also check out the Least Common Multiple of 74334 and 74347