What is the Greatest Common Factor of 16457 and 16465?

Greatest common factor (GCF) of 16457 and 16465 is 1.

GCF(16457,16465) = 1

We will now calculate the prime factors of 16457 and 16465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16457 and 16465.

How to find the GCF of 16457 and 16465?

We will first find the prime factorization of 16457 and 16465. After we will calculate the factors of 16457 and 16465 and find the biggest common factor number .

Step-1: Prime Factorization of 16457

Prime factors of 16457 are 7, 2351. Prime factorization of 16457 in exponential form is:

16457 = 7¹ × 2351¹

Step-2: Prime Factorization of 16465

Prime factors of 16465 are 5, 37, 89. Prime factorization of 16465 in exponential form is:

16465 = 5¹ × 37¹ × 89¹

Step-3: Factors of 16457

List of positive integer factors of 16457 that divides 16457 without a remainder.

1, 7, 2351

Step-4: Factors of 16465

List of positive integer factors of 16465 that divides 16457 without a remainder.

1, 5, 37, 89, 185, 445, 3293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16457 and 16465. The biggest common factor number is the GCF number.
So the greatest common factor 16457 and 16465 is 1.

Also check out the Least Common Multiple of 16457 and 16465