What is the Greatest Common Factor of 67944 and 67950?

Greatest common factor (GCF) of 67944 and 67950 is 6.

GCF(67944,67950) = 6

We will now calculate the prime factors of 67944 and 67950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67944 and 67950.

How to find the GCF of 67944 and 67950?

We will first find the prime factorization of 67944 and 67950. After we will calculate the factors of 67944 and 67950 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67950

Prime factors of 67950 are 2, 3, 5, 151. Prime factorization of 67950 in exponential form is:

67950 = 2¹ × 3² × 5² × 151¹

Step-3: Factors of 67944

List of positive integer factors of 67944 that divides 67944 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

Step-4: Factors of 67950

List of positive integer factors of 67950 that divides 67944 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 151, 225, 302, 450, 453, 755, 906, 1359, 1510, 2265, 2718, 3775, 4530, 6795, 7550, 11325, 13590, 22650, 33975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67944 and 67950. The biggest common factor number is the GCF number.
So the greatest common factor 67944 and 67950 is 6.

Also check out the Least Common Multiple of 67944 and 67950