What is the Greatest Common Factor of 74431 and 74447?

Greatest common factor (GCF) of 74431 and 74447 is 1.

GCF(74431,74447) = 1

We will now calculate the prime factors of 74431 and 74447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74431 and 74447.

How to find the GCF of 74431 and 74447?

We will first find the prime factorization of 74431 and 74447. After we will calculate the factors of 74431 and 74447 and find the biggest common factor number .

Step-1: Prime Factorization of 74431

Prime factors of 74431 are 7, 31. Prime factorization of 74431 in exponential form is:

74431 = 7⁴ × 31¹

Step-2: Prime Factorization of 74447

Prime factors of 74447 are 109, 683. Prime factorization of 74447 in exponential form is:

74447 = 109¹ × 683¹

Step-3: Factors of 74431

List of positive integer factors of 74431 that divides 74431 without a remainder.

1, 7, 31, 49, 217, 343, 1519, 2401, 10633

Step-4: Factors of 74447

List of positive integer factors of 74447 that divides 74431 without a remainder.

1, 109, 683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74431 and 74447. The biggest common factor number is the GCF number.
So the greatest common factor 74431 and 74447 is 1.

Also check out the Least Common Multiple of 74431 and 74447