What is the Greatest Common Factor of 54808 and 54821?

Greatest common factor (GCF) of 54808 and 54821 is 13.

GCF(54808,54821) = 13

We will now calculate the prime factors of 54808 and 54821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54808 and 54821.

How to find the GCF of 54808 and 54821?

We will first find the prime factorization of 54808 and 54821. After we will calculate the factors of 54808 and 54821 and find the biggest common factor number .

Step-1: Prime Factorization of 54808

Prime factors of 54808 are 2, 13, 17, 31. Prime factorization of 54808 in exponential form is:

54808 = 2³ × 13¹ × 17¹ × 31¹

Step-2: Prime Factorization of 54821

Prime factors of 54821 are 13, 4217. Prime factorization of 54821 in exponential form is:

54821 = 13¹ × 4217¹

Step-3: Factors of 54808

List of positive integer factors of 54808 that divides 54808 without a remainder.

1, 2, 4, 8, 13, 17, 26, 31, 34, 52, 62, 68, 104, 124, 136, 221, 248, 403, 442, 527, 806, 884, 1054, 1612, 1768, 2108, 3224, 4216, 6851, 13702, 27404

Step-4: Factors of 54821

List of positive integer factors of 54821 that divides 54808 without a remainder.

1, 13, 4217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54808 and 54821. The biggest common factor number is the GCF number.
So the greatest common factor 54808 and 54821 is 13.

Also check out the Least Common Multiple of 54808 and 54821