What is the Greatest Common Factor of 70238 and 70242?

Greatest common factor (GCF) of 70238 and 70242 is 2.

GCF(70238,70242) = 2

We will now calculate the prime factors of 70238 and 70242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70238 and 70242.

How to find the GCF of 70238 and 70242?

We will first find the prime factorization of 70238 and 70242. After we will calculate the factors of 70238 and 70242 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 70242

Prime factors of 70242 are 2, 3, 23, 509. Prime factorization of 70242 in exponential form is:

70242 = 2¹ × 3¹ × 23¹ × 509¹

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 70242

List of positive integer factors of 70242 that divides 70238 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 509, 1018, 1527, 3054, 11707, 23414, 35121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70238 and 70242. The biggest common factor number is the GCF number.
So the greatest common factor 70238 and 70242 is 2.

Also check out the Least Common Multiple of 70238 and 70242