What is the Greatest Common Factor of 35580 and 35585?

Greatest common factor (GCF) of 35580 and 35585 is 5.

GCF(35580,35585) = 5

We will now calculate the prime factors of 35580 and 35585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35580 and 35585.

How to find the GCF of 35580 and 35585?

We will first find the prime factorization of 35580 and 35585. After we will calculate the factors of 35580 and 35585 and find the biggest common factor number .

Step-1: Prime Factorization of 35580

Prime factors of 35580 are 2, 3, 5, 593. Prime factorization of 35580 in exponential form is:

35580 = 2² × 3¹ × 5¹ × 593¹

Step-2: Prime Factorization of 35585

Prime factors of 35585 are 5, 11, 647. Prime factorization of 35585 in exponential form is:

35585 = 5¹ × 11¹ × 647¹

Step-3: Factors of 35580

List of positive integer factors of 35580 that divides 35580 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 593, 1186, 1779, 2372, 2965, 3558, 5930, 7116, 8895, 11860, 17790

Step-4: Factors of 35585

List of positive integer factors of 35585 that divides 35580 without a remainder.

1, 5, 11, 55, 647, 3235, 7117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35580 and 35585. The biggest common factor number is the GCF number.
So the greatest common factor 35580 and 35585 is 5.

Also check out the Least Common Multiple of 35580 and 35585