What is the Greatest Common Factor of 64209 and 64219?

Greatest common factor (GCF) of 64209 and 64219 is 1.

GCF(64209,64219) = 1

We will now calculate the prime factors of 64209 and 64219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64209 and 64219.

How to find the GCF of 64209 and 64219?

We will first find the prime factorization of 64209 and 64219. After we will calculate the factors of 64209 and 64219 and find the biggest common factor number .

Step-1: Prime Factorization of 64209

Prime factors of 64209 are 3, 17, 1259. Prime factorization of 64209 in exponential form is:

64209 = 3¹ × 17¹ × 1259¹

Step-2: Prime Factorization of 64219

Prime factors of 64219 are 149, 431. Prime factorization of 64219 in exponential form is:

64219 = 149¹ × 431¹

Step-3: Factors of 64209

List of positive integer factors of 64209 that divides 64209 without a remainder.

1, 3, 17, 51, 1259, 3777, 21403

Step-4: Factors of 64219

List of positive integer factors of 64219 that divides 64209 without a remainder.

1, 149, 431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64209 and 64219. The biggest common factor number is the GCF number.
So the greatest common factor 64209 and 64219 is 1.

Also check out the Least Common Multiple of 64209 and 64219