What is the Greatest Common Factor of 67914 and 67923?

Greatest common factor (GCF) of 67914 and 67923 is 9.

GCF(67914,67923) = 9

We will now calculate the prime factors of 67914 and 67923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67914 and 67923.

How to find the GCF of 67914 and 67923?

We will first find the prime factorization of 67914 and 67923. After we will calculate the factors of 67914 and 67923 and find the biggest common factor number .

Step-1: Prime Factorization of 67914

Prime factors of 67914 are 2, 3, 7, 11. Prime factorization of 67914 in exponential form is:

67914 = 2¹ × 3² × 7³ × 11¹

Step-2: Prime Factorization of 67923

Prime factors of 67923 are 3, 7547. Prime factorization of 67923 in exponential form is:

67923 = 3² × 7547¹

Step-3: Factors of 67914

List of positive integer factors of 67914 that divides 67914 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 49, 63, 66, 77, 98, 99, 126, 147, 154, 198, 231, 294, 343, 441, 462, 539, 686, 693, 882, 1029, 1078, 1386, 1617, 2058, 3087, 3234, 3773, 4851, 6174, 7546, 9702, 11319, 22638, 33957

Step-4: Factors of 67923

List of positive integer factors of 67923 that divides 67914 without a remainder.

1, 3, 9, 7547, 22641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67914 and 67923. The biggest common factor number is the GCF number.
So the greatest common factor 67914 and 67923 is 9.

Also check out the Least Common Multiple of 67914 and 67923