What is the Greatest Common Factor of 45999 and 46018?

Greatest common factor (GCF) of 45999 and 46018 is 19.

GCF(45999,46018) = 19

We will now calculate the prime factors of 45999 and 46018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45999 and 46018.

How to find the GCF of 45999 and 46018?

We will first find the prime factorization of 45999 and 46018. After we will calculate the factors of 45999 and 46018 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 46018

Prime factors of 46018 are 2, 7, 19, 173. Prime factorization of 46018 in exponential form is:

46018 = 2¹ × 7¹ × 19¹ × 173¹

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 46018

List of positive integer factors of 46018 that divides 45999 without a remainder.

1, 2, 7, 14, 19, 38, 133, 173, 266, 346, 1211, 2422, 3287, 6574, 23009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45999 and 46018. The biggest common factor number is the GCF number.
So the greatest common factor 45999 and 46018 is 19.

Also check out the Least Common Multiple of 45999 and 46018