What is the Greatest Common Factor of 35760 and 35773?

Greatest common factor (GCF) of 35760 and 35773 is 1.

GCF(35760,35773) = 1

We will now calculate the prime factors of 35760 and 35773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35760 and 35773.

How to find the GCF of 35760 and 35773?

We will first find the prime factorization of 35760 and 35773. After we will calculate the factors of 35760 and 35773 and find the biggest common factor number .

Step-1: Prime Factorization of 35760

Prime factors of 35760 are 2, 3, 5, 149. Prime factorization of 35760 in exponential form is:

35760 = 2⁴ × 3¹ × 5¹ × 149¹

Step-2: Prime Factorization of 35773

Prime factors of 35773 are 83, 431. Prime factorization of 35773 in exponential form is:

35773 = 83¹ × 431¹

Step-3: Factors of 35760

List of positive integer factors of 35760 that divides 35760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 149, 240, 298, 447, 596, 745, 894, 1192, 1490, 1788, 2235, 2384, 2980, 3576, 4470, 5960, 7152, 8940, 11920, 17880

Step-4: Factors of 35773

List of positive integer factors of 35773 that divides 35760 without a remainder.

1, 83, 431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35760 and 35773. The biggest common factor number is the GCF number.
So the greatest common factor 35760 and 35773 is 1.

Also check out the Least Common Multiple of 35760 and 35773