What is the Greatest Common Factor of 48319 and 48332?

Greatest common factor (GCF) of 48319 and 48332 is 1.

GCF(48319,48332) = 1

We will now calculate the prime factors of 48319 and 48332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48319 and 48332.

How to find the GCF of 48319 and 48332?

We will first find the prime factorization of 48319 and 48332. After we will calculate the factors of 48319 and 48332 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 48332

Prime factors of 48332 are 2, 43, 281. Prime factorization of 48332 in exponential form is:

48332 = 2² × 43¹ × 281¹

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 48332

List of positive integer factors of 48332 that divides 48319 without a remainder.

1, 2, 4, 43, 86, 172, 281, 562, 1124, 12083, 24166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48319 and 48332. The biggest common factor number is the GCF number.
So the greatest common factor 48319 and 48332 is 1.

Also check out the Least Common Multiple of 48319 and 48332