What is the Greatest Common Factor of 35581 and 35590?

Greatest common factor (GCF) of 35581 and 35590 is 1.

GCF(35581,35590) = 1

We will now calculate the prime factors of 35581 and 35590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35581 and 35590.

How to find the GCF of 35581 and 35590?

We will first find the prime factorization of 35581 and 35590. After we will calculate the factors of 35581 and 35590 and find the biggest common factor number .

Step-1: Prime Factorization of 35581

Prime factors of 35581 are 7, 13, 17, 23. Prime factorization of 35581 in exponential form is:

35581 = 7¹ × 13¹ × 17¹ × 23¹

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 35581

List of positive integer factors of 35581 that divides 35581 without a remainder.

1, 7, 13, 17, 23, 91, 119, 161, 221, 299, 391, 1547, 2093, 2737, 5083

Step-4: Factors of 35590

List of positive integer factors of 35590 that divides 35581 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35581 and 35590. The biggest common factor number is the GCF number.
So the greatest common factor 35581 and 35590 is 1.

Also check out the Least Common Multiple of 35581 and 35590