What is the Greatest Common Factor of 54944 and 54964?

Greatest common factor (GCF) of 54944 and 54964 is 4.

GCF(54944,54964) = 4

We will now calculate the prime factors of 54944 and 54964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54944 and 54964.

How to find the GCF of 54944 and 54964?

We will first find the prime factorization of 54944 and 54964. After we will calculate the factors of 54944 and 54964 and find the biggest common factor number .

Step-1: Prime Factorization of 54944

Prime factors of 54944 are 2, 17, 101. Prime factorization of 54944 in exponential form is:

54944 = 2⁵ × 17¹ × 101¹

Step-2: Prime Factorization of 54964

Prime factors of 54964 are 2, 7, 13, 151. Prime factorization of 54964 in exponential form is:

54964 = 2² × 7¹ × 13¹ × 151¹

Step-3: Factors of 54944

List of positive integer factors of 54944 that divides 54944 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 101, 136, 202, 272, 404, 544, 808, 1616, 1717, 3232, 3434, 6868, 13736, 27472

Step-4: Factors of 54964

List of positive integer factors of 54964 that divides 54944 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 151, 182, 302, 364, 604, 1057, 1963, 2114, 3926, 4228, 7852, 13741, 27482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54944 and 54964. The biggest common factor number is the GCF number.
So the greatest common factor 54944 and 54964 is 4.

Also check out the Least Common Multiple of 54944 and 54964