What is the Greatest Common Factor of 48776 and 48789?

Greatest common factor (GCF) of 48776 and 48789 is 13.

GCF(48776,48789) = 13

We will now calculate the prime factors of 48776 and 48789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48776 and 48789.

How to find the GCF of 48776 and 48789?

We will first find the prime factorization of 48776 and 48789. After we will calculate the factors of 48776 and 48789 and find the biggest common factor number .

Step-1: Prime Factorization of 48776

Prime factors of 48776 are 2, 7, 13, 67. Prime factorization of 48776 in exponential form is:

48776 = 2³ × 7¹ × 13¹ × 67¹

Step-2: Prime Factorization of 48789

Prime factors of 48789 are 3, 13, 139. Prime factorization of 48789 in exponential form is:

48789 = 3³ × 13¹ × 139¹

Step-3: Factors of 48776

List of positive integer factors of 48776 that divides 48776 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 67, 91, 104, 134, 182, 268, 364, 469, 536, 728, 871, 938, 1742, 1876, 3484, 3752, 6097, 6968, 12194, 24388

Step-4: Factors of 48789

List of positive integer factors of 48789 that divides 48776 without a remainder.

1, 3, 9, 13, 27, 39, 117, 139, 351, 417, 1251, 1807, 3753, 5421, 16263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48776 and 48789. The biggest common factor number is the GCF number.
So the greatest common factor 48776 and 48789 is 13.

Also check out the Least Common Multiple of 48776 and 48789