What is the Greatest Common Factor of 55930 and 55950?

Greatest common factor (GCF) of 55930 and 55950 is 10.

GCF(55930,55950) = 10

We will now calculate the prime factors of 55930 and 55950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55930 and 55950.

How to find the GCF of 55930 and 55950?

We will first find the prime factorization of 55930 and 55950. After we will calculate the factors of 55930 and 55950 and find the biggest common factor number .

Step-1: Prime Factorization of 55930

Prime factors of 55930 are 2, 5, 7, 17, 47. Prime factorization of 55930 in exponential form is:

55930 = 2¹ × 5¹ × 7¹ × 17¹ × 47¹

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 55930

List of positive integer factors of 55930 that divides 55930 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 47, 70, 85, 94, 119, 170, 235, 238, 329, 470, 595, 658, 799, 1190, 1598, 1645, 3290, 3995, 5593, 7990, 11186, 27965

Step-4: Factors of 55950

List of positive integer factors of 55950 that divides 55930 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 55930 and 55950. The biggest common factor number is the GCF number.
So the greatest common factor 55930 and 55950 is 10.

Also check out the Least Common Multiple of 55930 and 55950