What is the Greatest Common Factor of 69337 and 69348?

Greatest common factor (GCF) of 69337 and 69348 is 1.

GCF(69337,69348) = 1

We will now calculate the prime factors of 69337 and 69348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69337 and 69348.

How to find the GCF of 69337 and 69348?

We will first find the prime factorization of 69337 and 69348. After we will calculate the factors of 69337 and 69348 and find the biggest common factor number .

Step-1: Prime Factorization of 69337

Prime factors of 69337 are 69337. Prime factorization of 69337 in exponential form is:

69337 = 69337¹

Step-2: 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-3: Factors of 69337

List of positive integer factors of 69337 that divides 69337 without a remainder.

Step-4: Factors of 69348

List of positive integer factors of 69348 that divides 69337 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69337 and 69348. The biggest common factor number is the GCF number.
So the greatest common factor 69337 and 69348 is 1.

Also check out the Least Common Multiple of 69337 and 69348