What is the Greatest Common Factor of 51401 and 51408?

Greatest common factor (GCF) of 51401 and 51408 is 7.

GCF(51401,51408) = 7

We will now calculate the prime factors of 51401 and 51408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51401 and 51408.

How to find the GCF of 51401 and 51408?

We will first find the prime factorization of 51401 and 51408. After we will calculate the factors of 51401 and 51408 and find the biggest common factor number .

Step-1: Prime Factorization of 51401

Prime factors of 51401 are 7, 1049. Prime factorization of 51401 in exponential form is:

51401 = 7² × 1049¹

Step-2: Prime Factorization of 51408

Prime factors of 51408 are 2, 3, 7, 17. Prime factorization of 51408 in exponential form is:

51408 = 2⁴ × 3³ × 7¹ × 17¹

Step-3: Factors of 51401

List of positive integer factors of 51401 that divides 51401 without a remainder.

1, 7, 49, 1049, 7343

Step-4: Factors of 51408

List of positive integer factors of 51408 that divides 51401 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 17, 18, 21, 24, 27, 28, 34, 36, 42, 48, 51, 54, 56, 63, 68, 72, 84, 102, 108, 112, 119, 126, 136, 144, 153, 168, 189, 204, 216, 238, 252, 272, 306, 336, 357, 378, 408, 432, 459, 476, 504, 612, 714, 756, 816, 918, 952, 1008, 1071, 1224, 1428, 1512, 1836, 1904, 2142, 2448, 2856, 3024, 3213, 3672, 4284, 5712, 6426, 7344, 8568, 12852, 17136, 25704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51401 and 51408. The biggest common factor number is the GCF number.
So the greatest common factor 51401 and 51408 is 7.

Also check out the Least Common Multiple of 51401 and 51408