What is the Greatest Common Factor of 48796 and 48807?

Greatest common factor (GCF) of 48796 and 48807 is 11.

GCF(48796,48807) = 11

We will now calculate the prime factors of 48796 and 48807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48796 and 48807.

How to find the GCF of 48796 and 48807?

We will first find the prime factorization of 48796 and 48807. After we will calculate the factors of 48796 and 48807 and find the biggest common factor number .

Step-1: Prime Factorization of 48796

Prime factors of 48796 are 2, 11, 1109. Prime factorization of 48796 in exponential form is:

48796 = 2² × 11¹ × 1109¹

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 48796

List of positive integer factors of 48796 that divides 48796 without a remainder.

1, 2, 4, 11, 22, 44, 1109, 2218, 4436, 12199, 24398

Step-4: Factors of 48807

List of positive integer factors of 48807 that divides 48796 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 48796 and 48807. The biggest common factor number is the GCF number.
So the greatest common factor 48796 and 48807 is 11.

Also check out the Least Common Multiple of 48796 and 48807