What is the Greatest Common Factor of 54796 and 54808?

Greatest common factor (GCF) of 54796 and 54808 is 4.

GCF(54796,54808) = 4

We will now calculate the prime factors of 54796 and 54808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54796 and 54808.

How to find the GCF of 54796 and 54808?

We will first find the prime factorization of 54796 and 54808. After we will calculate the factors of 54796 and 54808 and find the biggest common factor number .

Step-1: Prime Factorization of 54796

Prime factors of 54796 are 2, 7, 19, 103. Prime factorization of 54796 in exponential form is:

54796 = 2² × 7¹ × 19¹ × 103¹

Step-2: 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-3: Factors of 54796

List of positive integer factors of 54796 that divides 54796 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 103, 133, 206, 266, 412, 532, 721, 1442, 1957, 2884, 3914, 7828, 13699, 27398

Step-4: Factors of 54808

List of positive integer factors of 54808 that divides 54796 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54796 and 54808. The biggest common factor number is the GCF number.
So the greatest common factor 54796 and 54808 is 4.

Also check out the Least Common Multiple of 54796 and 54808