What is the Greatest Common Factor of 70238 and 70248?

Greatest common factor (GCF) of 70238 and 70248 is 2.

GCF(70238,70248) = 2

We will now calculate the prime factors of 70238 and 70248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70238 and 70248.

How to find the GCF of 70238 and 70248?

We will first find the prime factorization of 70238 and 70248. After we will calculate the factors of 70238 and 70248 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 70248

Prime factors of 70248 are 2, 3, 2927. Prime factorization of 70248 in exponential form is:

70248 = 2³ × 3¹ × 2927¹

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 70248

List of positive integer factors of 70248 that divides 70238 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2927, 5854, 8781, 11708, 17562, 23416, 35124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70238 and 70248. The biggest common factor number is the GCF number.
So the greatest common factor 70238 and 70248 is 2.

Also check out the Least Common Multiple of 70238 and 70248