What is the Greatest Common Factor of 78421 and 78438?

Greatest common factor (GCF) of 78421 and 78438 is 17.

GCF(78421,78438) = 17

We will now calculate the prime factors of 78421 and 78438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78421 and 78438.

How to find the GCF of 78421 and 78438?

We will first find the prime factorization of 78421 and 78438. After we will calculate the factors of 78421 and 78438 and find the biggest common factor number .

Step-1: Prime Factorization of 78421

Prime factors of 78421 are 7, 17, 659. Prime factorization of 78421 in exponential form is:

78421 = 7¹ × 17¹ × 659¹

Step-2: Prime Factorization of 78438

Prime factors of 78438 are 2, 3, 17, 769. Prime factorization of 78438 in exponential form is:

78438 = 2¹ × 3¹ × 17¹ × 769¹

Step-3: Factors of 78421

List of positive integer factors of 78421 that divides 78421 without a remainder.

1, 7, 17, 119, 659, 4613, 11203

Step-4: Factors of 78438

List of positive integer factors of 78438 that divides 78421 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 769, 1538, 2307, 4614, 13073, 26146, 39219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78421 and 78438. The biggest common factor number is the GCF number.
So the greatest common factor 78421 and 78438 is 17.

Also check out the Least Common Multiple of 78421 and 78438