What is the Greatest Common Factor of 35760 and 35764?

Greatest common factor (GCF) of 35760 and 35764 is 4.

GCF(35760,35764) = 4

We will now calculate the prime factors of 35760 and 35764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35760 and 35764.

How to find the GCF of 35760 and 35764?

We will first find the prime factorization of 35760 and 35764. After we will calculate the factors of 35760 and 35764 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 35764

Prime factors of 35764 are 2, 8941. Prime factorization of 35764 in exponential form is:

35764 = 2² × 8941¹

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 35764

List of positive integer factors of 35764 that divides 35760 without a remainder.

1, 2, 4, 8941, 17882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35760 and 35764. The biggest common factor number is the GCF number.
So the greatest common factor 35760 and 35764 is 4.

Also check out the Least Common Multiple of 35760 and 35764