What is the Greatest Common Factor of 16457 and 16464?

Greatest common factor (GCF) of 16457 and 16464 is 7.

GCF(16457,16464) = 7

We will now calculate the prime factors of 16457 and 16464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16457 and 16464.

How to find the GCF of 16457 and 16464?

We will first find the prime factorization of 16457 and 16464. After we will calculate the factors of 16457 and 16464 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 16464

Prime factors of 16464 are 2, 3, 7. Prime factorization of 16464 in exponential form is:

16464 = 2⁴ × 3¹ × 7³

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 16464

List of positive integer factors of 16464 that divides 16457 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 49, 56, 84, 98, 112, 147, 168, 196, 294, 336, 343, 392, 588, 686, 784, 1029, 1176, 1372, 2058, 2352, 2744, 4116, 5488, 8232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16457 and 16464. The biggest common factor number is the GCF number.
So the greatest common factor 16457 and 16464 is 7.

Also check out the Least Common Multiple of 16457 and 16464