What is the Greatest Common Factor of 48335 and 48353?

Greatest common factor (GCF) of 48335 and 48353 is 1.

GCF(48335,48353) = 1

We will now calculate the prime factors of 48335 and 48353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48335 and 48353.

How to find the GCF of 48335 and 48353?

We will first find the prime factorization of 48335 and 48353. After we will calculate the factors of 48335 and 48353 and find the biggest common factor number .

Step-1: Prime Factorization of 48335

Prime factors of 48335 are 5, 7, 1381. Prime factorization of 48335 in exponential form is:

48335 = 5¹ × 7¹ × 1381¹

Step-2: Prime Factorization of 48353

Prime factors of 48353 are 48353. Prime factorization of 48353 in exponential form is:

48353 = 48353¹

Step-3: Factors of 48335

List of positive integer factors of 48335 that divides 48335 without a remainder.

1, 5, 7, 35, 1381, 6905, 9667

Step-4: Factors of 48353

List of positive integer factors of 48353 that divides 48335 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48335 and 48353. The biggest common factor number is the GCF number.
So the greatest common factor 48335 and 48353 is 1.

Also check out the Least Common Multiple of 48335 and 48353