What is the Greatest Common Factor of 70204 and 70209?

Greatest common factor (GCF) of 70204 and 70209 is 1.

GCF(70204,70209) = 1

We will now calculate the prime factors of 70204 and 70209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70204 and 70209.

How to find the GCF of 70204 and 70209?

We will first find the prime factorization of 70204 and 70209. After we will calculate the factors of 70204 and 70209 and find the biggest common factor number .

Step-1: Prime Factorization of 70204

Prime factors of 70204 are 2, 17551. Prime factorization of 70204 in exponential form is:

70204 = 2² × 17551¹

Step-2: 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-3: Factors of 70204

List of positive integer factors of 70204 that divides 70204 without a remainder.

1, 2, 4, 17551, 35102

Step-4: Factors of 70209

List of positive integer factors of 70209 that divides 70204 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70204 and 70209. The biggest common factor number is the GCF number.
So the greatest common factor 70204 and 70209 is 1.

Also check out the Least Common Multiple of 70204 and 70209