What is the Greatest Common Factor of 48827 and 48832?

Greatest common factor (GCF) of 48827 and 48832 is 1.

GCF(48827,48832) = 1

We will now calculate the prime factors of 48827 and 48832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48827 and 48832.

How to find the GCF of 48827 and 48832?

We will first find the prime factorization of 48827 and 48832. After we will calculate the factors of 48827 and 48832 and find the biggest common factor number .

Step-1: Prime Factorization of 48827

Prime factors of 48827 are 157, 311. Prime factorization of 48827 in exponential form is:

48827 = 157¹ × 311¹

Step-2: Prime Factorization of 48832

Prime factors of 48832 are 2, 7, 109. Prime factorization of 48832 in exponential form is:

48832 = 2⁶ × 7¹ × 109¹

Step-3: Factors of 48827

List of positive integer factors of 48827 that divides 48827 without a remainder.

1, 157, 311

Step-4: Factors of 48832

List of positive integer factors of 48832 that divides 48827 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 109, 112, 218, 224, 436, 448, 763, 872, 1526, 1744, 3052, 3488, 6104, 6976, 12208, 24416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48827 and 48832. The biggest common factor number is the GCF number.
So the greatest common factor 48827 and 48832 is 1.

Also check out the Least Common Multiple of 48827 and 48832