What is the Greatest Common Factor of 54946 and 54964?

Greatest common factor (GCF) of 54946 and 54964 is 2.

GCF(54946,54964) = 2

We will now calculate the prime factors of 54946 and 54964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54946 and 54964.

How to find the GCF of 54946 and 54964?

We will first find the prime factorization of 54946 and 54964. After we will calculate the factors of 54946 and 54964 and find the biggest common factor number .

Step-1: Prime Factorization of 54946

Prime factors of 54946 are 2, 83, 331. Prime factorization of 54946 in exponential form is:

54946 = 2¹ × 83¹ × 331¹

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 54946

List of positive integer factors of 54946 that divides 54946 without a remainder.

1, 2, 83, 166, 331, 662, 27473

Step-4: Factors of 54964

List of positive integer factors of 54964 that divides 54946 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 54946 and 54964. The biggest common factor number is the GCF number.
So the greatest common factor 54946 and 54964 is 2.

Also check out the Least Common Multiple of 54946 and 54964