What is the Greatest Common Factor of 70209 and 70222?

Greatest common factor (GCF) of 70209 and 70222 is 1.

GCF(70209,70222) = 1

We will now calculate the prime factors of 70209 and 70222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70209 and 70222.

How to find the GCF of 70209 and 70222?

We will first find the prime factorization of 70209 and 70222. After we will calculate the factors of 70209 and 70222 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 70222

Prime factors of 70222 are 2, 35111. Prime factorization of 70222 in exponential form is:

70222 = 2¹ × 35111¹

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 70222

List of positive integer factors of 70222 that divides 70209 without a remainder.

1, 2, 35111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70209 and 70222. The biggest common factor number is the GCF number.
So the greatest common factor 70209 and 70222 is 1.

Also check out the Least Common Multiple of 70209 and 70222