What is the Greatest Common Factor of 6401 and 6408?

Greatest common factor (GCF) of 6401 and 6408 is 1.

GCF(6401,6408) = 1

We will now calculate the prime factors of 6401 and 6408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6401 and 6408.

How to find the GCF of 6401 and 6408?

We will first find the prime factorization of 6401 and 6408. After we will calculate the factors of 6401 and 6408 and find the biggest common factor number .

Step-1: Prime Factorization of 6401

Prime factors of 6401 are 37, 173. Prime factorization of 6401 in exponential form is:

6401 = 37¹ × 173¹

Step-2: Prime Factorization of 6408

Prime factors of 6408 are 2, 3, 89. Prime factorization of 6408 in exponential form is:

6408 = 2³ × 3² × 89¹

Step-3: Factors of 6401

List of positive integer factors of 6401 that divides 6401 without a remainder.

1, 37, 173

Step-4: Factors of 6408

List of positive integer factors of 6408 that divides 6401 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 89, 178, 267, 356, 534, 712, 801, 1068, 1602, 2136, 3204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6401 and 6408. The biggest common factor number is the GCF number.
So the greatest common factor 6401 and 6408 is 1.

Also check out the Least Common Multiple of 6401 and 6408