What is the Greatest Common Factor of 20828 and 20848?

Greatest common factor (GCF) of 20828 and 20848 is 4.

GCF(20828,20848) = 4

We will now calculate the prime factors of 20828 and 20848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20828 and 20848.

How to find the GCF of 20828 and 20848?

We will first find the prime factorization of 20828 and 20848. After we will calculate the factors of 20828 and 20848 and find the biggest common factor number .

Step-1: Prime Factorization of 20828

Prime factors of 20828 are 2, 41, 127. Prime factorization of 20828 in exponential form is:

20828 = 2² × 41¹ × 127¹

Step-2: Prime Factorization of 20848

Prime factors of 20848 are 2, 1303. Prime factorization of 20848 in exponential form is:

20848 = 2⁴ × 1303¹

Step-3: Factors of 20828

List of positive integer factors of 20828 that divides 20828 without a remainder.

1, 2, 4, 41, 82, 127, 164, 254, 508, 5207, 10414

Step-4: Factors of 20848

List of positive integer factors of 20848 that divides 20828 without a remainder.

1, 2, 4, 8, 16, 1303, 2606, 5212, 10424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20828 and 20848. The biggest common factor number is the GCF number.
So the greatest common factor 20828 and 20848 is 4.

Also check out the Least Common Multiple of 20828 and 20848