What is the Greatest Common Factor of 48816 and 48820?

Greatest common factor (GCF) of 48816 and 48820 is 4.

GCF(48816,48820) = 4

We will now calculate the prime factors of 48816 and 48820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48816 and 48820.

How to find the GCF of 48816 and 48820?

We will first find the prime factorization of 48816 and 48820. After we will calculate the factors of 48816 and 48820 and find the biggest common factor number .

Step-1: Prime Factorization of 48816

Prime factors of 48816 are 2, 3, 113. Prime factorization of 48816 in exponential form is:

48816 = 2⁴ × 3³ × 113¹

Step-2: Prime Factorization of 48820

Prime factors of 48820 are 2, 5, 2441. Prime factorization of 48820 in exponential form is:

48820 = 2² × 5¹ × 2441¹

Step-3: Factors of 48816

List of positive integer factors of 48816 that divides 48816 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 113, 144, 216, 226, 339, 432, 452, 678, 904, 1017, 1356, 1808, 2034, 2712, 3051, 4068, 5424, 6102, 8136, 12204, 16272, 24408

Step-4: Factors of 48820

List of positive integer factors of 48820 that divides 48816 without a remainder.

1, 2, 4, 5, 10, 20, 2441, 4882, 9764, 12205, 24410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48816 and 48820. The biggest common factor number is the GCF number.
So the greatest common factor 48816 and 48820 is 4.

Also check out the Least Common Multiple of 48816 and 48820