What is the Greatest Common Factor of 70238 and 70252?

Greatest common factor (GCF) of 70238 and 70252 is 14.

GCF(70238,70252) = 14

We will now calculate the prime factors of 70238 and 70252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70238 and 70252.

How to find the GCF of 70238 and 70252?

We will first find the prime factorization of 70238 and 70252. After we will calculate the factors of 70238 and 70252 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 70252

Prime factors of 70252 are 2, 7, 13, 193. Prime factorization of 70252 in exponential form is:

70252 = 2² × 7¹ × 13¹ × 193¹

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 70252

List of positive integer factors of 70252 that divides 70238 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 193, 364, 386, 772, 1351, 2509, 2702, 5018, 5404, 10036, 17563, 35126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70238 and 70252. The biggest common factor number is the GCF number.
So the greatest common factor 70238 and 70252 is 14.

Also check out the Least Common Multiple of 70238 and 70252