What is the Greatest Common Factor of 35580 and 35588?

Greatest common factor (GCF) of 35580 and 35588 is 4.

GCF(35580,35588) = 4

We will now calculate the prime factors of 35580 and 35588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35580 and 35588.

How to find the GCF of 35580 and 35588?

We will first find the prime factorization of 35580 and 35588. After we will calculate the factors of 35580 and 35588 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 35588

Prime factors of 35588 are 2, 7, 31, 41. Prime factorization of 35588 in exponential form is:

35588 = 2² × 7¹ × 31¹ × 41¹

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 35588

List of positive integer factors of 35588 that divides 35580 without a remainder.

1, 2, 4, 7, 14, 28, 31, 41, 62, 82, 124, 164, 217, 287, 434, 574, 868, 1148, 1271, 2542, 5084, 8897, 17794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35580 and 35588. The biggest common factor number is the GCF number.
So the greatest common factor 35580 and 35588 is 4.

Also check out the Least Common Multiple of 35580 and 35588