What is the Greatest Common Factor of 55986 and 56006?

Greatest common factor (GCF) of 55986 and 56006 is 2.

GCF(55986,56006) = 2

We will now calculate the prime factors of 55986 and 56006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55986 and 56006.

How to find the GCF of 55986 and 56006?

We will first find the prime factorization of 55986 and 56006. After we will calculate the factors of 55986 and 56006 and find the biggest common factor number .

Step-1: Prime Factorization of 55986

Prime factors of 55986 are 2, 3, 7, 31, 43. Prime factorization of 55986 in exponential form is:

55986 = 2¹ × 3¹ × 7¹ × 31¹ × 43¹

Step-2: Prime Factorization of 56006

Prime factors of 56006 are 2, 41, 683. Prime factorization of 56006 in exponential form is:

56006 = 2¹ × 41¹ × 683¹

Step-3: Factors of 55986

List of positive integer factors of 55986 that divides 55986 without a remainder.

1, 2, 3, 6, 7, 14, 21, 31, 42, 43, 62, 86, 93, 129, 186, 217, 258, 301, 434, 602, 651, 903, 1302, 1333, 1806, 2666, 3999, 7998, 9331, 18662, 27993

Step-4: Factors of 56006

List of positive integer factors of 56006 that divides 55986 without a remainder.

1, 2, 41, 82, 683, 1366, 28003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55986 and 56006. The biggest common factor number is the GCF number.
So the greatest common factor 55986 and 56006 is 2.

Also check out the Least Common Multiple of 55986 and 56006