What is the Greatest Common Factor of 48804 and 48820?

Greatest common factor (GCF) of 48804 and 48820 is 4.

GCF(48804,48820) = 4

We will now calculate the prime factors of 48804 and 48820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48804 and 48820.

How to find the GCF of 48804 and 48820?

We will first find the prime factorization of 48804 and 48820. After we will calculate the factors of 48804 and 48820 and find the biggest common factor number .

Step-1: Prime Factorization of 48804

Prime factors of 48804 are 2, 3, 7, 83. Prime factorization of 48804 in exponential form is:

48804 = 2² × 3¹ × 7² × 83¹

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 48804

List of positive integer factors of 48804 that divides 48804 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 83, 84, 98, 147, 166, 196, 249, 294, 332, 498, 581, 588, 996, 1162, 1743, 2324, 3486, 4067, 6972, 8134, 12201, 16268, 24402

Step-4: Factors of 48820

List of positive integer factors of 48820 that divides 48804 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 48804 and 48820. The biggest common factor number is the GCF number.
So the greatest common factor 48804 and 48820 is 4.

Also check out the Least Common Multiple of 48804 and 48820