What is the Greatest Common Factor of 54930 and 54950?

Greatest common factor (GCF) of 54930 and 54950 is 10.

GCF(54930,54950) = 10

We will now calculate the prime factors of 54930 and 54950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54930 and 54950.

How to find the GCF of 54930 and 54950?

We will first find the prime factorization of 54930 and 54950. After we will calculate the factors of 54930 and 54950 and find the biggest common factor number .

Step-1: Prime Factorization of 54930

Prime factors of 54930 are 2, 3, 5, 1831. Prime factorization of 54930 in exponential form is:

54930 = 2¹ × 3¹ × 5¹ × 1831¹

Step-2: 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-3: Factors of 54930

List of positive integer factors of 54930 that divides 54930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1831, 3662, 5493, 9155, 10986, 18310, 27465

Step-4: Factors of 54950

List of positive integer factors of 54950 that divides 54930 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54930 and 54950. The biggest common factor number is the GCF number.
So the greatest common factor 54930 and 54950 is 10.

Also check out the Least Common Multiple of 54930 and 54950