What is the Greatest Common Factor of 68419 and 68438?

Greatest common factor (GCF) of 68419 and 68438 is 19.

GCF(68419,68438) = 19

We will now calculate the prime factors of 68419 and 68438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68419 and 68438.

How to find the GCF of 68419 and 68438?

We will first find the prime factorization of 68419 and 68438. After we will calculate the factors of 68419 and 68438 and find the biggest common factor number .

Step-1: Prime Factorization of 68419

Prime factors of 68419 are 13, 19, 277. Prime factorization of 68419 in exponential form is:

68419 = 13¹ × 19¹ × 277¹

Step-2: Prime Factorization of 68438

Prime factors of 68438 are 2, 19, 1801. Prime factorization of 68438 in exponential form is:

68438 = 2¹ × 19¹ × 1801¹

Step-3: Factors of 68419

List of positive integer factors of 68419 that divides 68419 without a remainder.

1, 13, 19, 247, 277, 3601, 5263

Step-4: Factors of 68438

List of positive integer factors of 68438 that divides 68419 without a remainder.

1, 2, 19, 38, 1801, 3602, 34219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68419 and 68438. The biggest common factor number is the GCF number.
So the greatest common factor 68419 and 68438 is 19.

Also check out the Least Common Multiple of 68419 and 68438