What is the Greatest Common Factor of 54950 and 54959?

Greatest common factor (GCF) of 54950 and 54959 is 1.

GCF(54950,54959) = 1

We will now calculate the prime factors of 54950 and 54959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54950 and 54959.

How to find the GCF of 54950 and 54959?

We will first find the prime factorization of 54950 and 54959. After we will calculate the factors of 54950 and 54959 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 54959

Prime factors of 54959 are 54959. Prime factorization of 54959 in exponential form is:

54959 = 54959¹

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 54959

List of positive integer factors of 54959 that divides 54950 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54950 and 54959. The biggest common factor number is the GCF number.
So the greatest common factor 54950 and 54959 is 1.

Also check out the Least Common Multiple of 54950 and 54959