What is the Greatest Common Factor of 67944 and 67964?

Greatest common factor (GCF) of 67944 and 67964 is 4.

GCF(67944,67964) = 4

We will now calculate the prime factors of 67944 and 67964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67944 and 67964.

How to find the GCF of 67944 and 67964?

We will first find the prime factorization of 67944 and 67964. After we will calculate the factors of 67944 and 67964 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 67964

Prime factors of 67964 are 2, 13, 1307. Prime factorization of 67964 in exponential form is:

67964 = 2² × 13¹ × 1307¹

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 67964

List of positive integer factors of 67964 that divides 67944 without a remainder.

1, 2, 4, 13, 26, 52, 1307, 2614, 5228, 16991, 33982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67944 and 67964. The biggest common factor number is the GCF number.
So the greatest common factor 67944 and 67964 is 4.

Also check out the Least Common Multiple of 67944 and 67964