What is the Greatest Common Factor of 67944 and 67954?

Greatest common factor (GCF) of 67944 and 67954 is 2.

GCF(67944,67954) = 2

We will now calculate the prime factors of 67944 and 67954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67944 and 67954.

How to find the GCF of 67944 and 67954?

We will first find the prime factorization of 67944 and 67954. After we will calculate the factors of 67944 and 67954 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 67954

Prime factors of 67954 are 2, 61, 557. Prime factorization of 67954 in exponential form is:

67954 = 2¹ × 61¹ × 557¹

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 67954

List of positive integer factors of 67954 that divides 67944 without a remainder.

1, 2, 61, 122, 557, 1114, 33977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67944 and 67954. The biggest common factor number is the GCF number.
So the greatest common factor 67944 and 67954 is 2.

Also check out the Least Common Multiple of 67944 and 67954