What is the Greatest Common Factor of 70348 and 70358?

Greatest common factor (GCF) of 70348 and 70358 is 2.

GCF(70348,70358) = 2

We will now calculate the prime factors of 70348 and 70358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70348 and 70358.

How to find the GCF of 70348 and 70358?

We will first find the prime factorization of 70348 and 70358. After we will calculate the factors of 70348 and 70358 and find the biggest common factor number .

Step-1: Prime Factorization of 70348

Prime factors of 70348 are 2, 43, 409. Prime factorization of 70348 in exponential form is:

70348 = 2² × 43¹ × 409¹

Step-2: Prime Factorization of 70358

Prime factors of 70358 are 2, 127, 277. Prime factorization of 70358 in exponential form is:

70358 = 2¹ × 127¹ × 277¹

Step-3: Factors of 70348

List of positive integer factors of 70348 that divides 70348 without a remainder.

1, 2, 4, 43, 86, 172, 409, 818, 1636, 17587, 35174

Step-4: Factors of 70358

List of positive integer factors of 70358 that divides 70348 without a remainder.

1, 2, 127, 254, 277, 554, 35179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70348 and 70358. The biggest common factor number is the GCF number.
So the greatest common factor 70348 and 70358 is 2.

Also check out the Least Common Multiple of 70348 and 70358