What is the Greatest Common Factor of 54940 and 54950?

Greatest common factor (GCF) of 54940 and 54950 is 10.

GCF(54940,54950) = 10

We will now calculate the prime factors of 54940 and 54950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54940 and 54950.

How to find the GCF of 54940 and 54950?

We will first find the prime factorization of 54940 and 54950. After we will calculate the factors of 54940 and 54950 and find the biggest common factor number .

Step-1: Prime Factorization of 54940

Prime factors of 54940 are 2, 5, 41, 67. Prime factorization of 54940 in exponential form is:

54940 = 2² × 5¹ × 41¹ × 67¹

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 54940

List of positive integer factors of 54940 that divides 54940 without a remainder.

1, 2, 4, 5, 10, 20, 41, 67, 82, 134, 164, 205, 268, 335, 410, 670, 820, 1340, 2747, 5494, 10988, 13735, 27470

Step-4: Factors of 54950

List of positive integer factors of 54950 that divides 54940 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 54940 and 54950. The biggest common factor number is the GCF number.
So the greatest common factor 54940 and 54950 is 10.

Also check out the Least Common Multiple of 54940 and 54950