What is the Greatest Common Factor of 70238 and 70243?

Greatest common factor (GCF) of 70238 and 70243 is 1.

GCF(70238,70243) = 1

We will now calculate the prime factors of 70238 and 70243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70238 and 70243.

How to find the GCF of 70238 and 70243?

We will first find the prime factorization of 70238 and 70243. After we will calculate the factors of 70238 and 70243 and find the biggest common factor number .

Step-1: Prime Factorization of 70238

Prime factors of 70238 are 2, 7, 29, 173. Prime factorization of 70238 in exponential form is:

70238 = 2¹ × 7¹ × 29¹ × 173¹

Step-2: Prime Factorization of 70243

Prime factors of 70243 are 19, 3697. Prime factorization of 70243 in exponential form is:

70243 = 19¹ × 3697¹

Step-3: Factors of 70238

List of positive integer factors of 70238 that divides 70238 without a remainder.

1, 2, 7, 14, 29, 58, 173, 203, 346, 406, 1211, 2422, 5017, 10034, 35119

Step-4: Factors of 70243

List of positive integer factors of 70243 that divides 70238 without a remainder.

1, 19, 3697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70238 and 70243. The biggest common factor number is the GCF number.
So the greatest common factor 70238 and 70243 is 1.

Also check out the Least Common Multiple of 70238 and 70243