What is the Greatest Common Factor of 35575 and 35580?

Greatest common factor (GCF) of 35575 and 35580 is 5.

GCF(35575,35580) = 5

We will now calculate the prime factors of 35575 and 35580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35575 and 35580.

How to find the GCF of 35575 and 35580?

We will first find the prime factorization of 35575 and 35580. After we will calculate the factors of 35575 and 35580 and find the biggest common factor number .

Step-1: Prime Factorization of 35575

Prime factors of 35575 are 5, 1423. Prime factorization of 35575 in exponential form is:

35575 = 5² × 1423¹

Step-2: 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-3: Factors of 35575

List of positive integer factors of 35575 that divides 35575 without a remainder.

1, 5, 25, 1423, 7115

Step-4: Factors of 35580

List of positive integer factors of 35580 that divides 35575 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35575 and 35580. The biggest common factor number is the GCF number.
So the greatest common factor 35575 and 35580 is 5.

Also check out the Least Common Multiple of 35575 and 35580