What is the Greatest Common Factor of 74339 and 74347?

Greatest common factor (GCF) of 74339 and 74347 is 1.

GCF(74339,74347) = 1

We will now calculate the prime factors of 74339 and 74347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74339 and 74347.

How to find the GCF of 74339 and 74347?

We will first find the prime factorization of 74339 and 74347. After we will calculate the factors of 74339 and 74347 and find the biggest common factor number .

Step-1: Prime Factorization of 74339

Prime factors of 74339 are 79, 941. Prime factorization of 74339 in exponential form is:

74339 = 79¹ × 941¹

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 74339

List of positive integer factors of 74339 that divides 74339 without a remainder.

1, 79, 941

Step-4: Factors of 74347

List of positive integer factors of 74347 that divides 74339 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 74339 and 74347. The biggest common factor number is the GCF number.
So the greatest common factor 74339 and 74347 is 1.

Also check out the Least Common Multiple of 74339 and 74347