What is the Greatest Common Factor of 61760 and 61767?

Greatest common factor (GCF) of 61760 and 61767 is 1.

GCF(61760,61767) = 1

We will now calculate the prime factors of 61760 and 61767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61760 and 61767.

How to find the GCF of 61760 and 61767?

We will first find the prime factorization of 61760 and 61767. After we will calculate the factors of 61760 and 61767 and find the biggest common factor number .

Step-1: Prime Factorization of 61760

Prime factors of 61760 are 2, 5, 193. Prime factorization of 61760 in exponential form is:

61760 = 2⁶ × 5¹ × 193¹

Step-2: Prime Factorization of 61767

Prime factors of 61767 are 3, 6863. Prime factorization of 61767 in exponential form is:

61767 = 3² × 6863¹

Step-3: Factors of 61760

List of positive integer factors of 61760 that divides 61760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 193, 320, 386, 772, 965, 1544, 1930, 3088, 3860, 6176, 7720, 12352, 15440, 30880

Step-4: Factors of 61767

List of positive integer factors of 61767 that divides 61760 without a remainder.

1, 3, 9, 6863, 20589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61760 and 61767. The biggest common factor number is the GCF number.
So the greatest common factor 61760 and 61767 is 1.

Also check out the Least Common Multiple of 61760 and 61767