What is the Greatest Common Factor of 67431 and 67446?

Greatest common factor (GCF) of 67431 and 67446 is 3.

GCF(67431,67446) = 3

We will now calculate the prime factors of 67431 and 67446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67431 and 67446.

How to find the GCF of 67431 and 67446?

We will first find the prime factorization of 67431 and 67446. After we will calculate the factors of 67431 and 67446 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 67446

Prime factors of 67446 are 2, 3, 1249. Prime factorization of 67446 in exponential form is:

67446 = 2¹ × 3³ × 1249¹

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 67446

List of positive integer factors of 67446 that divides 67431 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1249, 2498, 3747, 7494, 11241, 22482, 33723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67431 and 67446. The biggest common factor number is the GCF number.
So the greatest common factor 67431 and 67446 is 3.

Also check out the Least Common Multiple of 67431 and 67446