What is the Greatest Common Factor of 35575 and 35585?

Greatest common factor (GCF) of 35575 and 35585 is 5.

GCF(35575,35585) = 5

We will now calculate the prime factors of 35575 and 35585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35575 and 35585.

How to find the GCF of 35575 and 35585?

We will first find the prime factorization of 35575 and 35585. After we will calculate the factors of 35575 and 35585 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 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 35575

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

1, 5, 25, 1423, 7115

Step-4: Factors of 35585

List of positive integer factors of 35585 that divides 35575 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35575 and 35585. The biggest common factor number is the GCF number.
So the greatest common factor 35575 and 35585 is 5.

Also check out the Least Common Multiple of 35575 and 35585