What is the Greatest Common Factor of 6414 and 6424?

Greatest common factor (GCF) of 6414 and 6424 is 2.

GCF(6414,6424) = 2

We will now calculate the prime factors of 6414 and 6424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6414 and 6424.

How to find the GCF of 6414 and 6424?

We will first find the prime factorization of 6414 and 6424. After we will calculate the factors of 6414 and 6424 and find the biggest common factor number .

Step-1: Prime Factorization of 6414

Prime factors of 6414 are 2, 3, 1069. Prime factorization of 6414 in exponential form is:

6414 = 2¹ × 3¹ × 1069¹

Step-2: Prime Factorization of 6424

Prime factors of 6424 are 2, 11, 73. Prime factorization of 6424 in exponential form is:

6424 = 2³ × 11¹ × 73¹

Step-3: Factors of 6414

List of positive integer factors of 6414 that divides 6414 without a remainder.

1, 2, 3, 6, 1069, 2138, 3207

Step-4: Factors of 6424

List of positive integer factors of 6424 that divides 6414 without a remainder.

1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6414 and 6424. The biggest common factor number is the GCF number.
So the greatest common factor 6414 and 6424 is 2.

Also check out the Least Common Multiple of 6414 and 6424