What is the Greatest Common Factor of 55958 and 55972?

Greatest common factor (GCF) of 55958 and 55972 is 14.

GCF(55958,55972) = 14

We will now calculate the prime factors of 55958 and 55972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55958 and 55972.

How to find the GCF of 55958 and 55972?

We will first find the prime factorization of 55958 and 55972. After we will calculate the factors of 55958 and 55972 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 55972

Prime factors of 55972 are 2, 7, 1999. Prime factorization of 55972 in exponential form is:

55972 = 2² × 7¹ × 1999¹

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 55972

List of positive integer factors of 55972 that divides 55958 without a remainder.

1, 2, 4, 7, 14, 28, 1999, 3998, 7996, 13993, 27986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55958 and 55972. The biggest common factor number is the GCF number.
So the greatest common factor 55958 and 55972 is 14.

Also check out the Least Common Multiple of 55958 and 55972