What is the Greatest Common Factor of 16360 and 16370?

Greatest common factor (GCF) of 16360 and 16370 is 10.

GCF(16360,16370) = 10

We will now calculate the prime factors of 16360 and 16370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16360 and 16370.

How to find the GCF of 16360 and 16370?

We will first find the prime factorization of 16360 and 16370. After we will calculate the factors of 16360 and 16370 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 16370

Prime factors of 16370 are 2, 5, 1637. Prime factorization of 16370 in exponential form is:

16370 = 2¹ × 5¹ × 1637¹

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 16370

List of positive integer factors of 16370 that divides 16360 without a remainder.

1, 2, 5, 10, 1637, 3274, 8185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16360 and 16370. The biggest common factor number is the GCF number.
So the greatest common factor 16360 and 16370 is 10.

Also check out the Least Common Multiple of 16360 and 16370