What is the Greatest Common Factor of 46209 and 46219?

Greatest common factor (GCF) of 46209 and 46219 is 1.

GCF(46209,46219) = 1

We will now calculate the prime factors of 46209 and 46219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46209 and 46219.

How to find the GCF of 46209 and 46219?

We will first find the prime factorization of 46209 and 46219. After we will calculate the factors of 46209 and 46219 and find the biggest common factor number .

Step-1: Prime Factorization of 46209

Prime factors of 46209 are 3, 73, 211. Prime factorization of 46209 in exponential form is:

46209 = 3¹ × 73¹ × 211¹

Step-2: Prime Factorization of 46219

Prime factors of 46219 are 46219. Prime factorization of 46219 in exponential form is:

46219 = 46219¹

Step-3: Factors of 46209

List of positive integer factors of 46209 that divides 46209 without a remainder.

1, 3, 73, 211, 219, 633, 15403

Step-4: Factors of 46219

List of positive integer factors of 46219 that divides 46209 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46209 and 46219. The biggest common factor number is the GCF number.
So the greatest common factor 46209 and 46219 is 1.

Also check out the Least Common Multiple of 46209 and 46219