What is the Greatest Common Factor of 55958 and 55970?

Greatest common factor (GCF) of 55958 and 55970 is 2.

GCF(55958,55970) = 2

We will now calculate the prime factors of 55958 and 55970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55958 and 55970.

How to find the GCF of 55958 and 55970?

We will first find the prime factorization of 55958 and 55970. After we will calculate the factors of 55958 and 55970 and find the biggest common factor number .

Step-1: Prime Factorization of 55958

Prime factors of 55958 are 2, 7, 571. Prime factorization of 55958 in exponential form is:

55958 = 2¹ × 7² × 571¹

Step-2: Prime Factorization of 55970

Prime factors of 55970 are 2, 5, 29, 193. Prime factorization of 55970 in exponential form is:

55970 = 2¹ × 5¹ × 29¹ × 193¹

Step-3: Factors of 55958

List of positive integer factors of 55958 that divides 55958 without a remainder.

1, 2, 7, 14, 49, 98, 571, 1142, 3997, 7994, 27979

Step-4: Factors of 55970

List of positive integer factors of 55970 that divides 55958 without a remainder.

1, 2, 5, 10, 29, 58, 145, 193, 290, 386, 965, 1930, 5597, 11194, 27985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55958 and 55970. The biggest common factor number is the GCF number.
So the greatest common factor 55958 and 55970 is 2.

Also check out the Least Common Multiple of 55958 and 55970