What is the Greatest Common Factor of 17456 and 17464?

Greatest common factor (GCF) of 17456 and 17464 is 8.

GCF(17456,17464) = 8

We will now calculate the prime factors of 17456 and 17464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17456 and 17464.

How to find the GCF of 17456 and 17464?

We will first find the prime factorization of 17456 and 17464. After we will calculate the factors of 17456 and 17464 and find the biggest common factor number .

Step-1: Prime Factorization of 17456

Prime factors of 17456 are 2, 1091. Prime factorization of 17456 in exponential form is:

17456 = 2⁴ × 1091¹

Step-2: Prime Factorization of 17464

Prime factors of 17464 are 2, 37, 59. Prime factorization of 17464 in exponential form is:

17464 = 2³ × 37¹ × 59¹

Step-3: Factors of 17456

List of positive integer factors of 17456 that divides 17456 without a remainder.

1, 2, 4, 8, 16, 1091, 2182, 4364, 8728

Step-4: Factors of 17464

List of positive integer factors of 17464 that divides 17456 without a remainder.

1, 2, 4, 8, 37, 59, 74, 118, 148, 236, 296, 472, 2183, 4366, 8732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17456 and 17464. The biggest common factor number is the GCF number.
So the greatest common factor 17456 and 17464 is 8.

Also check out the Least Common Multiple of 17456 and 17464