What is the Greatest Common Factor of 6419 and 6426?

Greatest common factor (GCF) of 6419 and 6426 is 7.

GCF(6419,6426) = 7

We will now calculate the prime factors of 6419 and 6426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6419 and 6426.

How to find the GCF of 6419 and 6426?

We will first find the prime factorization of 6419 and 6426. After we will calculate the factors of 6419 and 6426 and find the biggest common factor number .

Step-1: Prime Factorization of 6419

Prime factors of 6419 are 7, 131. Prime factorization of 6419 in exponential form is:

6419 = 7² × 131¹

Step-2: Prime Factorization of 6426

Prime factors of 6426 are 2, 3, 7, 17. Prime factorization of 6426 in exponential form is:

6426 = 2¹ × 3³ × 7¹ × 17¹

Step-3: Factors of 6419

List of positive integer factors of 6419 that divides 6419 without a remainder.

1, 7, 49, 131, 917

Step-4: Factors of 6426

List of positive integer factors of 6426 that divides 6419 without a remainder.

1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 27, 34, 42, 51, 54, 63, 102, 119, 126, 153, 189, 238, 306, 357, 378, 459, 714, 918, 1071, 2142, 3213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6419 and 6426. The biggest common factor number is the GCF number.
So the greatest common factor 6419 and 6426 is 7.

Also check out the Least Common Multiple of 6419 and 6426