What is the Greatest Common Factor of 61648 and 61664?

Greatest common factor (GCF) of 61648 and 61664 is 16.

GCF(61648,61664) = 16

We will now calculate the prime factors of 61648 and 61664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61648 and 61664.

How to find the GCF of 61648 and 61664?

We will first find the prime factorization of 61648 and 61664. After we will calculate the factors of 61648 and 61664 and find the biggest common factor number .

Step-1: Prime Factorization of 61648

Prime factors of 61648 are 2, 3853. Prime factorization of 61648 in exponential form is:

61648 = 2⁴ × 3853¹

Step-2: Prime Factorization of 61664

Prime factors of 61664 are 2, 41, 47. Prime factorization of 61664 in exponential form is:

61664 = 2⁵ × 41¹ × 47¹

Step-3: Factors of 61648

List of positive integer factors of 61648 that divides 61648 without a remainder.

1, 2, 4, 8, 16, 3853, 7706, 15412, 30824

Step-4: Factors of 61664

List of positive integer factors of 61664 that divides 61648 without a remainder.

1, 2, 4, 8, 16, 32, 41, 47, 82, 94, 164, 188, 328, 376, 656, 752, 1312, 1504, 1927, 3854, 7708, 15416, 30832

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61648 and 61664. The biggest common factor number is the GCF number.
So the greatest common factor 61648 and 61664 is 16.

Also check out the Least Common Multiple of 61648 and 61664