What is the Greatest Common Factor of 48807 and 48818?

Greatest common factor (GCF) of 48807 and 48818 is 11.

GCF(48807,48818) = 11

We will now calculate the prime factors of 48807 and 48818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48807 and 48818.

How to find the GCF of 48807 and 48818?

We will first find the prime factorization of 48807 and 48818. After we will calculate the factors of 48807 and 48818 and find the biggest common factor number .

Step-1: Prime Factorization of 48807

Prime factors of 48807 are 3, 11, 17, 29. Prime factorization of 48807 in exponential form is:

48807 = 3² × 11¹ × 17¹ × 29¹

Step-2: Prime Factorization of 48818

Prime factors of 48818 are 2, 7, 11, 317. Prime factorization of 48818 in exponential form is:

48818 = 2¹ × 7¹ × 11¹ × 317¹

Step-3: Factors of 48807

List of positive integer factors of 48807 that divides 48807 without a remainder.

1, 3, 9, 11, 17, 29, 33, 51, 87, 99, 153, 187, 261, 319, 493, 561, 957, 1479, 1683, 2871, 4437, 5423, 16269

Step-4: Factors of 48818

List of positive integer factors of 48818 that divides 48807 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 317, 634, 2219, 3487, 4438, 6974, 24409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48807 and 48818. The biggest common factor number is the GCF number.
So the greatest common factor 48807 and 48818 is 11.

Also check out the Least Common Multiple of 48807 and 48818