What is the Greatest Common Factor of 55986 and 56005?

Greatest common factor (GCF) of 55986 and 56005 is 1.

GCF(55986,56005) = 1

We will now calculate the prime factors of 55986 and 56005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55986 and 56005.

How to find the GCF of 55986 and 56005?

We will first find the prime factorization of 55986 and 56005. After we will calculate the factors of 55986 and 56005 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 56005

Prime factors of 56005 are 5, 23, 487. Prime factorization of 56005 in exponential form is:

56005 = 5¹ × 23¹ × 487¹

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 56005

List of positive integer factors of 56005 that divides 55986 without a remainder.

1, 5, 23, 115, 487, 2435, 11201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55986 and 56005. The biggest common factor number is the GCF number.
So the greatest common factor 55986 and 56005 is 1.

Also check out the Least Common Multiple of 55986 and 56005