What is the Greatest Common Factor of 16360 and 16378?

Greatest common factor (GCF) of 16360 and 16378 is 2.

GCF(16360,16378) = 2

We will now calculate the prime factors of 16360 and 16378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16360 and 16378.

How to find the GCF of 16360 and 16378?

We will first find the prime factorization of 16360 and 16378. After we will calculate the factors of 16360 and 16378 and find the biggest common factor number .

Step-1: Prime Factorization of 16360

Prime factors of 16360 are 2, 5, 409. Prime factorization of 16360 in exponential form is:

16360 = 2³ × 5¹ × 409¹

Step-2: Prime Factorization of 16378

Prime factors of 16378 are 2, 19, 431. Prime factorization of 16378 in exponential form is:

16378 = 2¹ × 19¹ × 431¹

Step-3: Factors of 16360

List of positive integer factors of 16360 that divides 16360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 409, 818, 1636, 2045, 3272, 4090, 8180

Step-4: Factors of 16378

List of positive integer factors of 16378 that divides 16360 without a remainder.

1, 2, 19, 38, 431, 862, 8189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16360 and 16378. The biggest common factor number is the GCF number.
So the greatest common factor 16360 and 16378 is 2.

Also check out the Least Common Multiple of 16360 and 16378