What is the Greatest Common Factor of 20848 and 20868?

Greatest common factor (GCF) of 20848 and 20868 is 4.

GCF(20848,20868) = 4

We will now calculate the prime factors of 20848 and 20868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20848 and 20868.

How to find the GCF of 20848 and 20868?

We will first find the prime factorization of 20848 and 20868. After we will calculate the factors of 20848 and 20868 and find the biggest common factor number .

Step-1: Prime Factorization of 20848

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

20848 = 2⁴ × 1303¹

Step-2: Prime Factorization of 20868

Prime factors of 20868 are 2, 3, 37, 47. Prime factorization of 20868 in exponential form is:

20868 = 2² × 3¹ × 37¹ × 47¹

Step-3: Factors of 20848

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

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

Step-4: Factors of 20868

List of positive integer factors of 20868 that divides 20848 without a remainder.

1, 2, 3, 4, 6, 12, 37, 47, 74, 94, 111, 141, 148, 188, 222, 282, 444, 564, 1739, 3478, 5217, 6956, 10434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20848 and 20868. The biggest common factor number is the GCF number.
So the greatest common factor 20848 and 20868 is 4.

Also check out the Least Common Multiple of 20848 and 20868