What is the Greatest Common Factor of 78425 and 78438?

Greatest common factor (GCF) of 78425 and 78438 is 1.

GCF(78425,78438) = 1

We will now calculate the prime factors of 78425 and 78438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78425 and 78438.

How to find the GCF of 78425 and 78438?

We will first find the prime factorization of 78425 and 78438. After we will calculate the factors of 78425 and 78438 and find the biggest common factor number .

Step-1: Prime Factorization of 78425

Prime factors of 78425 are 5, 3137. Prime factorization of 78425 in exponential form is:

78425 = 5² × 3137¹

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 78425

List of positive integer factors of 78425 that divides 78425 without a remainder.

1, 5, 25, 3137, 15685

Step-4: Factors of 78438

List of positive integer factors of 78438 that divides 78425 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 78425 and 78438. The biggest common factor number is the GCF number.
So the greatest common factor 78425 and 78438 is 1.

Also check out the Least Common Multiple of 78425 and 78438