What is the Greatest Common Factor of 69348 and 69353?

Greatest common factor (GCF) of 69348 and 69353 is 1.

GCF(69348,69353) = 1

We will now calculate the prime factors of 69348 and 69353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69348 and 69353.

How to find the GCF of 69348 and 69353?

We will first find the prime factorization of 69348 and 69353. After we will calculate the factors of 69348 and 69353 and find the biggest common factor number .

Step-1: Prime Factorization of 69348

Prime factors of 69348 are 2, 3, 5779. Prime factorization of 69348 in exponential form is:

69348 = 2² × 3¹ × 5779¹

Step-2: Prime Factorization of 69353

Prime factors of 69353 are 223, 311. Prime factorization of 69353 in exponential form is:

69353 = 223¹ × 311¹

Step-3: Factors of 69348

List of positive integer factors of 69348 that divides 69348 without a remainder.

1, 2, 3, 4, 6, 12, 5779, 11558, 17337, 23116, 34674

Step-4: Factors of 69353

List of positive integer factors of 69353 that divides 69348 without a remainder.

1, 223, 311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69348 and 69353. The biggest common factor number is the GCF number.
So the greatest common factor 69348 and 69353 is 1.

Also check out the Least Common Multiple of 69348 and 69353