What is the Greatest Common Factor of 70348 and 70353?

Greatest common factor (GCF) of 70348 and 70353 is 1.

GCF(70348,70353) = 1

We will now calculate the prime factors of 70348 and 70353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70348 and 70353.

How to find the GCF of 70348 and 70353?

We will first find the prime factorization of 70348 and 70353. After we will calculate the factors of 70348 and 70353 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 70353

Prime factors of 70353 are 3, 7817. Prime factorization of 70353 in exponential form is:

70353 = 3² × 7817¹

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 70353

List of positive integer factors of 70353 that divides 70348 without a remainder.

1, 3, 9, 7817, 23451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70348 and 70353. The biggest common factor number is the GCF number.
So the greatest common factor 70348 and 70353 is 1.

Also check out the Least Common Multiple of 70348 and 70353