What is the Greatest Common Factor of 67914 and 67929?

Greatest common factor (GCF) of 67914 and 67929 is 3.

GCF(67914,67929) = 3

We will now calculate the prime factors of 67914 and 67929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67914 and 67929.

How to find the GCF of 67914 and 67929?

We will first find the prime factorization of 67914 and 67929. After we will calculate the factors of 67914 and 67929 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 67929

Prime factors of 67929 are 3, 22643. Prime factorization of 67929 in exponential form is:

67929 = 3¹ × 22643¹

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 67929

List of positive integer factors of 67929 that divides 67914 without a remainder.

1, 3, 22643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67914 and 67929. The biggest common factor number is the GCF number.
So the greatest common factor 67914 and 67929 is 3.

Also check out the Least Common Multiple of 67914 and 67929