What is the Greatest Common Factor of 78346 and 78350?

Greatest common factor (GCF) of 78346 and 78350 is 2.

GCF(78346,78350) = 2

We will now calculate the prime factors of 78346 and 78350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78346 and 78350.

How to find the GCF of 78346 and 78350?

We will first find the prime factorization of 78346 and 78350. After we will calculate the factors of 78346 and 78350 and find the biggest common factor number .

Step-1: Prime Factorization of 78346

Prime factors of 78346 are 2, 43, 911. Prime factorization of 78346 in exponential form is:

78346 = 2¹ × 43¹ × 911¹

Step-2: Prime Factorization of 78350

Prime factors of 78350 are 2, 5, 1567. Prime factorization of 78350 in exponential form is:

78350 = 2¹ × 5² × 1567¹

Step-3: Factors of 78346

List of positive integer factors of 78346 that divides 78346 without a remainder.

1, 2, 43, 86, 911, 1822, 39173

Step-4: Factors of 78350

List of positive integer factors of 78350 that divides 78346 without a remainder.

1, 2, 5, 10, 25, 50, 1567, 3134, 7835, 15670, 39175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78346 and 78350. The biggest common factor number is the GCF number.
So the greatest common factor 78346 and 78350 is 2.

Also check out the Least Common Multiple of 78346 and 78350