What is the Greatest Common Factor of 54950 and 54964?

Greatest common factor (GCF) of 54950 and 54964 is 14.

GCF(54950,54964) = 14

We will now calculate the prime factors of 54950 and 54964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54950 and 54964.

How to find the GCF of 54950 and 54964?

We will first find the prime factorization of 54950 and 54964. After we will calculate the factors of 54950 and 54964 and find the biggest common factor number .

Step-1: Prime Factorization of 54950

Prime factors of 54950 are 2, 5, 7, 157. Prime factorization of 54950 in exponential form is:

54950 = 2¹ × 5² × 7¹ × 157¹

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 54950

List of positive integer factors of 54950 that divides 54950 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 157, 175, 314, 350, 785, 1099, 1570, 2198, 3925, 5495, 7850, 10990, 27475

Step-4: Factors of 54964

List of positive integer factors of 54964 that divides 54950 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 54950 and 54964. The biggest common factor number is the GCF number.
So the greatest common factor 54950 and 54964 is 14.

Also check out the Least Common Multiple of 54950 and 54964