What is the Greatest Common Factor of 67935 and 67944?

Greatest common factor (GCF) of 67935 and 67944 is 3.

GCF(67935,67944) = 3

We will now calculate the prime factors of 67935 and 67944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67935 and 67944.

How to find the GCF of 67935 and 67944?

We will first find the prime factorization of 67935 and 67944. After we will calculate the factors of 67935 and 67944 and find the biggest common factor number .

Step-1: Prime Factorization of 67935

Prime factors of 67935 are 3, 5, 7, 647. Prime factorization of 67935 in exponential form is:

67935 = 3¹ × 5¹ × 7¹ × 647¹

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 67935

List of positive integer factors of 67935 that divides 67935 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 647, 1941, 3235, 4529, 9705, 13587, 22645

Step-4: Factors of 67944

List of positive integer factors of 67944 that divides 67935 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 67935 and 67944. The biggest common factor number is the GCF number.
So the greatest common factor 67935 and 67944 is 3.

Also check out the Least Common Multiple of 67935 and 67944