What is the Greatest Common Factor of 61760 and 61775?

Greatest common factor (GCF) of 61760 and 61775 is 5.

GCF(61760,61775) = 5

We will now calculate the prime factors of 61760 and 61775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61760 and 61775.

How to find the GCF of 61760 and 61775?

We will first find the prime factorization of 61760 and 61775. After we will calculate the factors of 61760 and 61775 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 61775

Prime factors of 61775 are 5, 7, 353. Prime factorization of 61775 in exponential form is:

61775 = 5² × 7¹ × 353¹

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 61775

List of positive integer factors of 61775 that divides 61760 without a remainder.

1, 5, 7, 25, 35, 175, 353, 1765, 2471, 8825, 12355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61760 and 61775. The biggest common factor number is the GCF number.
So the greatest common factor 61760 and 61775 is 5.

Also check out the Least Common Multiple of 61760 and 61775