What is the Greatest Common Factor of 67419 and 67431?

Greatest common factor (GCF) of 67419 and 67431 is 3.

GCF(67419,67431) = 3

We will now calculate the prime factors of 67419 and 67431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67419 and 67431.

How to find the GCF of 67419 and 67431?

We will first find the prime factorization of 67419 and 67431. After we will calculate the factors of 67419 and 67431 and find the biggest common factor number .

Step-1: Prime Factorization of 67419

Prime factors of 67419 are 3, 11, 227. Prime factorization of 67419 in exponential form is:

67419 = 3³ × 11¹ × 227¹

Step-2: 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-3: Factors of 67419

List of positive integer factors of 67419 that divides 67419 without a remainder.

1, 3, 9, 11, 27, 33, 99, 227, 297, 681, 2043, 2497, 6129, 7491, 22473

Step-4: Factors of 67431

List of positive integer factors of 67431 that divides 67419 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67419 and 67431. The biggest common factor number is the GCF number.
So the greatest common factor 67419 and 67431 is 3.

Also check out the Least Common Multiple of 67419 and 67431