What is the Greatest Common Factor of 61664 and 61673?

Greatest common factor (GCF) of 61664 and 61673 is 1.

GCF(61664,61673) = 1

We will now calculate the prime factors of 61664 and 61673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61664 and 61673.

How to find the GCF of 61664 and 61673?

We will first find the prime factorization of 61664 and 61673. After we will calculate the factors of 61664 and 61673 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 61673

Prime factors of 61673 are 61673. Prime factorization of 61673 in exponential form is:

61673 = 61673¹

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 61673

List of positive integer factors of 61673 that divides 61664 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61664 and 61673. The biggest common factor number is the GCF number.
So the greatest common factor 61664 and 61673 is 1.

Also check out the Least Common Multiple of 61664 and 61673