What is the Greatest Common Factor of 70238 and 70245?

Greatest common factor (GCF) of 70238 and 70245 is 7.

GCF(70238,70245) = 7

We will now calculate the prime factors of 70238 and 70245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70238 and 70245.

How to find the GCF of 70238 and 70245?

We will first find the prime factorization of 70238 and 70245. After we will calculate the factors of 70238 and 70245 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 70245

Prime factors of 70245 are 3, 5, 7, 223. Prime factorization of 70245 in exponential form is:

70245 = 3² × 5¹ × 7¹ × 223¹

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 70245

List of positive integer factors of 70245 that divides 70238 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 223, 315, 669, 1115, 1561, 2007, 3345, 4683, 7805, 10035, 14049, 23415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70238 and 70245. The biggest common factor number is the GCF number.
So the greatest common factor 70238 and 70245 is 7.

Also check out the Least Common Multiple of 70238 and 70245