What is the Greatest Common Factor of 48608 and 48613?

Greatest common factor (GCF) of 48608 and 48613 is 1.

GCF(48608,48613) = 1

We will now calculate the prime factors of 48608 and 48613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48608 and 48613.

How to find the GCF of 48608 and 48613?

We will first find the prime factorization of 48608 and 48613. After we will calculate the factors of 48608 and 48613 and find the biggest common factor number .

Step-1: Prime Factorization of 48608

Prime factors of 48608 are 2, 7, 31. Prime factorization of 48608 in exponential form is:

48608 = 2⁵ × 7² × 31¹

Step-2: Prime Factorization of 48613

Prime factors of 48613 are 173, 281. Prime factorization of 48613 in exponential form is:

48613 = 173¹ × 281¹

Step-3: Factors of 48608

List of positive integer factors of 48608 that divides 48608 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 49, 56, 62, 98, 112, 124, 196, 217, 224, 248, 392, 434, 496, 784, 868, 992, 1519, 1568, 1736, 3038, 3472, 6076, 6944, 12152, 24304

Step-4: Factors of 48613

List of positive integer factors of 48613 that divides 48608 without a remainder.

1, 173, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48608 and 48613. The biggest common factor number is the GCF number.
So the greatest common factor 48608 and 48613 is 1.

Also check out the Least Common Multiple of 48608 and 48613