What is the Greatest Common Factor of 35580 and 35590?

Greatest common factor (GCF) of 35580 and 35590 is 10.

GCF(35580,35590) = 10

We will now calculate the prime factors of 35580 and 35590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35580 and 35590.

How to find the GCF of 35580 and 35590?

We will first find the prime factorization of 35580 and 35590. After we will calculate the factors of 35580 and 35590 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 35590

Prime factors of 35590 are 2, 5, 3559. Prime factorization of 35590 in exponential form is:

35590 = 2¹ × 5¹ × 3559¹

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 35590

List of positive integer factors of 35590 that divides 35580 without a remainder.

1, 2, 5, 10, 3559, 7118, 17795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35580 and 35590. The biggest common factor number is the GCF number.
So the greatest common factor 35580 and 35590 is 10.

Also check out the Least Common Multiple of 35580 and 35590