What is the Greatest Common Factor of 55946 and 55950?

Greatest common factor (GCF) of 55946 and 55950 is 2.

GCF(55946,55950) = 2

We will now calculate the prime factors of 55946 and 55950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55946 and 55950.

How to find the GCF of 55946 and 55950?

We will first find the prime factorization of 55946 and 55950. After we will calculate the factors of 55946 and 55950 and find the biggest common factor number .

Step-1: Prime Factorization of 55946

Prime factors of 55946 are 2, 11, 2543. Prime factorization of 55946 in exponential form is:

55946 = 2¹ × 11¹ × 2543¹

Step-2: Prime Factorization of 55950

Prime factors of 55950 are 2, 3, 5, 373. Prime factorization of 55950 in exponential form is:

55950 = 2¹ × 3¹ × 5² × 373¹

Step-3: Factors of 55946

List of positive integer factors of 55946 that divides 55946 without a remainder.

1, 2, 11, 22, 2543, 5086, 27973

Step-4: Factors of 55950

List of positive integer factors of 55950 that divides 55946 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 373, 746, 1119, 1865, 2238, 3730, 5595, 9325, 11190, 18650, 27975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55946 and 55950. The biggest common factor number is the GCF number.
So the greatest common factor 55946 and 55950 is 2.

Also check out the Least Common Multiple of 55946 and 55950