What is the Greatest Common Factor of 70209 and 70219?

Greatest common factor (GCF) of 70209 and 70219 is 1.

GCF(70209,70219) = 1

We will now calculate the prime factors of 70209 and 70219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70209 and 70219.

How to find the GCF of 70209 and 70219?

We will first find the prime factorization of 70209 and 70219. After we will calculate the factors of 70209 and 70219 and find the biggest common factor number .

Step-1: Prime Factorization of 70209

Prime factors of 70209 are 3, 29, 269. Prime factorization of 70209 in exponential form is:

70209 = 3² × 29¹ × 269¹

Step-2: Prime Factorization of 70219

Prime factors of 70219 are 23, 43, 71. Prime factorization of 70219 in exponential form is:

70219 = 23¹ × 43¹ × 71¹

Step-3: Factors of 70209

List of positive integer factors of 70209 that divides 70209 without a remainder.

1, 3, 9, 29, 87, 261, 269, 807, 2421, 7801, 23403

Step-4: Factors of 70219

List of positive integer factors of 70219 that divides 70209 without a remainder.

1, 23, 43, 71, 989, 1633, 3053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70209 and 70219. The biggest common factor number is the GCF number.
So the greatest common factor 70209 and 70219 is 1.

Also check out the Least Common Multiple of 70209 and 70219