What is the Greatest Common Factor of 48319 and 48335?

Greatest common factor (GCF) of 48319 and 48335 is 1.

GCF(48319,48335) = 1

We will now calculate the prime factors of 48319 and 48335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48319 and 48335.

How to find the GCF of 48319 and 48335?

We will first find the prime factorization of 48319 and 48335. After we will calculate the factors of 48319 and 48335 and find the biggest common factor number .

Step-1: Prime Factorization of 48319

Prime factors of 48319 are 211, 229. Prime factorization of 48319 in exponential form is:

48319 = 211¹ × 229¹

Step-2: 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-3: Factors of 48319

List of positive integer factors of 48319 that divides 48319 without a remainder.

1, 211, 229

Step-4: Factors of 48335

List of positive integer factors of 48335 that divides 48319 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48319 and 48335. The biggest common factor number is the GCF number.
So the greatest common factor 48319 and 48335 is 1.

Also check out the Least Common Multiple of 48319 and 48335