What is the Greatest Common Factor of 4828 and 4848?

Greatest common factor (GCF) of 4828 and 4848 is 4.

GCF(4828,4848) = 4

We will now calculate the prime factors of 4828 and 4848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4828 and 4848.

How to find the GCF of 4828 and 4848?

We will first find the prime factorization of 4828 and 4848. After we will calculate the factors of 4828 and 4848 and find the biggest common factor number .

Step-1: Prime Factorization of 4828

Prime factors of 4828 are 2, 17, 71. Prime factorization of 4828 in exponential form is:

4828 = 2² × 17¹ × 71¹

Step-2: Prime Factorization of 4848

Prime factors of 4848 are 2, 3, 101. Prime factorization of 4848 in exponential form is:

4848 = 2⁴ × 3¹ × 101¹

Step-3: Factors of 4828

List of positive integer factors of 4828 that divides 4828 without a remainder.

1, 2, 4, 17, 34, 68, 71, 142, 284, 1207, 2414

Step-4: Factors of 4848

List of positive integer factors of 4848 that divides 4828 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4828 and 4848. The biggest common factor number is the GCF number.
So the greatest common factor 4828 and 4848 is 4.

Also check out the Least Common Multiple of 4828 and 4848