What is the Greatest Common Factor of 48798 and 48807?

Greatest common factor (GCF) of 48798 and 48807 is 9.

GCF(48798,48807) = 9

We will now calculate the prime factors of 48798 and 48807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48798 and 48807.

How to find the GCF of 48798 and 48807?

We will first find the prime factorization of 48798 and 48807. After we will calculate the factors of 48798 and 48807 and find the biggest common factor number .

Step-1: Prime Factorization of 48798

Prime factors of 48798 are 2, 3, 2711. Prime factorization of 48798 in exponential form is:

48798 = 2¹ × 3² × 2711¹

Step-2: 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-3: Factors of 48798

List of positive integer factors of 48798 that divides 48798 without a remainder.

1, 2, 3, 6, 9, 18, 2711, 5422, 8133, 16266, 24399

Step-4: Factors of 48807

List of positive integer factors of 48807 that divides 48798 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48798 and 48807. The biggest common factor number is the GCF number.
So the greatest common factor 48798 and 48807 is 9.

Also check out the Least Common Multiple of 48798 and 48807