What is the Greatest Common Factor of 55948 and 55958?

Greatest common factor (GCF) of 55948 and 55958 is 2.

GCF(55948,55958) = 2

We will now calculate the prime factors of 55948 and 55958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55948 and 55958.

How to find the GCF of 55948 and 55958?

We will first find the prime factorization of 55948 and 55958. After we will calculate the factors of 55948 and 55958 and find the biggest common factor number .

Step-1: Prime Factorization of 55948

Prime factors of 55948 are 2, 71, 197. Prime factorization of 55948 in exponential form is:

55948 = 2² × 71¹ × 197¹

Step-2: 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-3: Factors of 55948

List of positive integer factors of 55948 that divides 55948 without a remainder.

1, 2, 4, 71, 142, 197, 284, 394, 788, 13987, 27974

Step-4: Factors of 55958

List of positive integer factors of 55958 that divides 55948 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55948 and 55958. The biggest common factor number is the GCF number.
So the greatest common factor 55948 and 55958 is 2.

Also check out the Least Common Multiple of 55948 and 55958