What is the Greatest Common Factor of 45999 and 46019?

Greatest common factor (GCF) of 45999 and 46019 is 1.

GCF(45999,46019) = 1

We will now calculate the prime factors of 45999 and 46019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45999 and 46019.

How to find the GCF of 45999 and 46019?

We will first find the prime factorization of 45999 and 46019. After we will calculate the factors of 45999 and 46019 and find the biggest common factor number .

Step-1: Prime Factorization of 45999

Prime factors of 45999 are 3, 19, 269. Prime factorization of 45999 in exponential form is:

45999 = 3² × 19¹ × 269¹

Step-2: Prime Factorization of 46019

Prime factors of 46019 are 17, 2707. Prime factorization of 46019 in exponential form is:

46019 = 17¹ × 2707¹

Step-3: Factors of 45999

List of positive integer factors of 45999 that divides 45999 without a remainder.

1, 3, 9, 19, 57, 171, 269, 807, 2421, 5111, 15333

Step-4: Factors of 46019

List of positive integer factors of 46019 that divides 45999 without a remainder.

1, 17, 2707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45999 and 46019. The biggest common factor number is the GCF number.
So the greatest common factor 45999 and 46019 is 1.

Also check out the Least Common Multiple of 45999 and 46019