What is the Greatest Common Factor of 70231 and 70238?

Greatest common factor (GCF) of 70231 and 70238 is 7.

GCF(70231,70238) = 7

We will now calculate the prime factors of 70231 and 70238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70231 and 70238.

How to find the GCF of 70231 and 70238?

We will first find the prime factorization of 70231 and 70238. After we will calculate the factors of 70231 and 70238 and find the biggest common factor number .

Step-1: Prime Factorization of 70231

Prime factors of 70231 are 7, 79, 127. Prime factorization of 70231 in exponential form is:

70231 = 7¹ × 79¹ × 127¹

Step-2: 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-3: Factors of 70231

List of positive integer factors of 70231 that divides 70231 without a remainder.

1, 7, 79, 127, 553, 889, 10033

Step-4: Factors of 70238

List of positive integer factors of 70238 that divides 70231 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70231 and 70238. The biggest common factor number is the GCF number.
So the greatest common factor 70231 and 70238 is 7.

Also check out the Least Common Multiple of 70231 and 70238