What is the Greatest Common Factor of 67431 and 67447?

Greatest common factor (GCF) of 67431 and 67447 is 1.

GCF(67431,67447) = 1

We will now calculate the prime factors of 67431 and 67447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67431 and 67447.

How to find the GCF of 67431 and 67447?

We will first find the prime factorization of 67431 and 67447. After we will calculate the factors of 67431 and 67447 and find the biggest common factor number .

Step-1: Prime Factorization of 67431

Prime factors of 67431 are 3, 7, 13, 19. Prime factorization of 67431 in exponential form is:

67431 = 3¹ × 7¹ × 13² × 19¹

Step-2: Prime Factorization of 67447

Prime factors of 67447 are 67447. Prime factorization of 67447 in exponential form is:

67447 = 67447¹

Step-3: Factors of 67431

List of positive integer factors of 67431 that divides 67431 without a remainder.

1, 3, 7, 13, 19, 21, 39, 57, 91, 133, 169, 247, 273, 399, 507, 741, 1183, 1729, 3211, 3549, 5187, 9633, 22477

Step-4: Factors of 67447

List of positive integer factors of 67447 that divides 67431 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67431 and 67447. The biggest common factor number is the GCF number.
So the greatest common factor 67431 and 67447 is 1.

Also check out the Least Common Multiple of 67431 and 67447