What is the Greatest Common Factor of 55950 and 55960?

Greatest common factor (GCF) of 55950 and 55960 is 10.

GCF(55950,55960) = 10

We will now calculate the prime factors of 55950 and 55960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55950 and 55960.

How to find the GCF of 55950 and 55960?

We will first find the prime factorization of 55950 and 55960. After we will calculate the factors of 55950 and 55960 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55960

Prime factors of 55960 are 2, 5, 1399. Prime factorization of 55960 in exponential form is:

55960 = 2³ × 5¹ × 1399¹

Step-3: Factors of 55950

List of positive integer factors of 55950 that divides 55950 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

Step-4: Factors of 55960

List of positive integer factors of 55960 that divides 55950 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1399, 2798, 5596, 6995, 11192, 13990, 27980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55950 and 55960. The biggest common factor number is the GCF number.
So the greatest common factor 55950 and 55960 is 10.

Also check out the Least Common Multiple of 55950 and 55960