What is the Greatest Common Factor of 67914 and 67932?

Greatest common factor (GCF) of 67914 and 67932 is 18.

GCF(67914,67932) = 18

We will now calculate the prime factors of 67914 and 67932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67914 and 67932.

How to find the GCF of 67914 and 67932?

We will first find the prime factorization of 67914 and 67932. After we will calculate the factors of 67914 and 67932 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 67932

Prime factors of 67932 are 2, 3, 17, 37. Prime factorization of 67932 in exponential form is:

67932 = 2² × 3³ × 17¹ × 37¹

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 67932

List of positive integer factors of 67932 that divides 67914 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 37, 51, 54, 68, 74, 102, 108, 111, 148, 153, 204, 222, 306, 333, 444, 459, 612, 629, 666, 918, 999, 1258, 1332, 1836, 1887, 1998, 2516, 3774, 3996, 5661, 7548, 11322, 16983, 22644, 33966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67914 and 67932. The biggest common factor number is the GCF number.
So the greatest common factor 67914 and 67932 is 18.

Also check out the Least Common Multiple of 67914 and 67932