What is the Greatest Common Factor of 67944 and 67948?

Greatest common factor (GCF) of 67944 and 67948 is 4.

GCF(67944,67948) = 4

We will now calculate the prime factors of 67944 and 67948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67944 and 67948.

How to find the GCF of 67944 and 67948?

We will first find the prime factorization of 67944 and 67948. After we will calculate the factors of 67944 and 67948 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 67948

Prime factors of 67948 are 2, 16987. Prime factorization of 67948 in exponential form is:

67948 = 2² × 16987¹

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 67948

List of positive integer factors of 67948 that divides 67944 without a remainder.

1, 2, 4, 16987, 33974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67944 and 67948. The biggest common factor number is the GCF number.
So the greatest common factor 67944 and 67948 is 4.

Also check out the Least Common Multiple of 67944 and 67948