What is the Greatest Common Factor of 61664 and 61681?

Greatest common factor (GCF) of 61664 and 61681 is 1.

GCF(61664,61681) = 1

We will now calculate the prime factors of 61664 and 61681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61664 and 61681.

How to find the GCF of 61664 and 61681?

We will first find the prime factorization of 61664 and 61681. After we will calculate the factors of 61664 and 61681 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61681

Prime factors of 61681 are 61681. Prime factorization of 61681 in exponential form is:

61681 = 61681¹

Step-3: Factors of 61664

List of positive integer factors of 61664 that divides 61664 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

Step-4: Factors of 61681

List of positive integer factors of 61681 that divides 61664 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61664 and 61681. The biggest common factor number is the GCF number.
So the greatest common factor 61664 and 61681 is 1.

Also check out the Least Common Multiple of 61664 and 61681