What is the Greatest Common Factor of 54986 and 55005?

Greatest common factor (GCF) of 54986 and 55005 is 19.

GCF(54986,55005) = 19

We will now calculate the prime factors of 54986 and 55005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54986 and 55005.

How to find the GCF of 54986 and 55005?

We will first find the prime factorization of 54986 and 55005. After we will calculate the factors of 54986 and 55005 and find the biggest common factor number .

Step-1: Prime Factorization of 54986

Prime factors of 54986 are 2, 19, 1447. Prime factorization of 54986 in exponential form is:

54986 = 2¹ × 19¹ × 1447¹

Step-2: Prime Factorization of 55005

Prime factors of 55005 are 3, 5, 19, 193. Prime factorization of 55005 in exponential form is:

55005 = 3¹ × 5¹ × 19¹ × 193¹

Step-3: Factors of 54986

List of positive integer factors of 54986 that divides 54986 without a remainder.

1, 2, 19, 38, 1447, 2894, 27493

Step-4: Factors of 55005

List of positive integer factors of 55005 that divides 54986 without a remainder.

1, 3, 5, 15, 19, 57, 95, 193, 285, 579, 965, 2895, 3667, 11001, 18335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54986 and 55005. The biggest common factor number is the GCF number.
So the greatest common factor 54986 and 55005 is 19.

Also check out the Least Common Multiple of 54986 and 55005