What is the Greatest Common Factor of 67932 and 67944?

Greatest common factor (GCF) of 67932 and 67944 is 12.

GCF(67932,67944) = 12

We will now calculate the prime factors of 67932 and 67944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67932 and 67944.

How to find the GCF of 67932 and 67944?

We will first find the prime factorization of 67932 and 67944. After we will calculate the factors of 67932 and 67944 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67944

Prime factors of 67944 are 2, 3, 19, 149. Prime factorization of 67944 in exponential form is:

67944 = 2³ × 3¹ × 19¹ × 149¹

Step-3: Factors of 67932

List of positive integer factors of 67932 that divides 67932 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

Step-4: Factors of 67944

List of positive integer factors of 67944 that divides 67932 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 149, 152, 228, 298, 447, 456, 596, 894, 1192, 1788, 2831, 3576, 5662, 8493, 11324, 16986, 22648, 33972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67932 and 67944. The biggest common factor number is the GCF number.
So the greatest common factor 67932 and 67944 is 12.

Also check out the Least Common Multiple of 67932 and 67944