What is the Greatest Common Factor of 48826 and 48832?

Greatest common factor (GCF) of 48826 and 48832 is 2.

GCF(48826,48832) = 2

We will now calculate the prime factors of 48826 and 48832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48826 and 48832.

How to find the GCF of 48826 and 48832?

We will first find the prime factorization of 48826 and 48832. After we will calculate the factors of 48826 and 48832 and find the biggest common factor number .

Step-1: Prime Factorization of 48826

Prime factors of 48826 are 2, 24413. Prime factorization of 48826 in exponential form is:

48826 = 2¹ × 24413¹

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 48826

List of positive integer factors of 48826 that divides 48826 without a remainder.

1, 2, 24413

Step-4: Factors of 48832

List of positive integer factors of 48832 that divides 48826 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 48826 and 48832. The biggest common factor number is the GCF number.
So the greatest common factor 48826 and 48832 is 2.

Also check out the Least Common Multiple of 48826 and 48832