What is the Greatest Common Factor of 48608 and 48623?

Greatest common factor (GCF) of 48608 and 48623 is 1.

GCF(48608,48623) = 1

We will now calculate the prime factors of 48608 and 48623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48608 and 48623.

How to find the GCF of 48608 and 48623?

We will first find the prime factorization of 48608 and 48623. After we will calculate the factors of 48608 and 48623 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 48623

Prime factors of 48623 are 48623. Prime factorization of 48623 in exponential form is:

48623 = 48623¹

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 48623

List of positive integer factors of 48623 that divides 48608 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48608 and 48623. The biggest common factor number is the GCF number.
So the greatest common factor 48608 and 48623 is 1.

Also check out the Least Common Multiple of 48608 and 48623