What is the Greatest Common Factor of 48359 and 48364?

Greatest common factor (GCF) of 48359 and 48364 is 1.

GCF(48359,48364) = 1

We will now calculate the prime factors of 48359 and 48364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48359 and 48364.

How to find the GCF of 48359 and 48364?

We will first find the prime factorization of 48359 and 48364. After we will calculate the factors of 48359 and 48364 and find the biggest common factor number .

Step-1: Prime Factorization of 48359

Prime factors of 48359 are 37, 1307. Prime factorization of 48359 in exponential form is:

48359 = 37¹ × 1307¹

Step-2: Prime Factorization of 48364

Prime factors of 48364 are 2, 107, 113. Prime factorization of 48364 in exponential form is:

48364 = 2² × 107¹ × 113¹

Step-3: Factors of 48359

List of positive integer factors of 48359 that divides 48359 without a remainder.

1, 37, 1307

Step-4: Factors of 48364

List of positive integer factors of 48364 that divides 48359 without a remainder.

1, 2, 4, 107, 113, 214, 226, 428, 452, 12091, 24182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48359 and 48364. The biggest common factor number is the GCF number.
So the greatest common factor 48359 and 48364 is 1.

Also check out the Least Common Multiple of 48359 and 48364