What is the Greatest Common Factor of 35587 and 35606?

Greatest common factor (GCF) of 35587 and 35606 is 19.

GCF(35587,35606) = 19

We will now calculate the prime factors of 35587 and 35606, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35587 and 35606.

How to find the GCF of 35587 and 35606?

We will first find the prime factorization of 35587 and 35606. After we will calculate the factors of 35587 and 35606 and find the biggest common factor number .

Step-1: Prime Factorization of 35587

Prime factors of 35587 are 19, 1873. Prime factorization of 35587 in exponential form is:

35587 = 19¹ × 1873¹

Step-2: Prime Factorization of 35606

Prime factors of 35606 are 2, 19, 937. Prime factorization of 35606 in exponential form is:

35606 = 2¹ × 19¹ × 937¹

Step-3: Factors of 35587

List of positive integer factors of 35587 that divides 35587 without a remainder.

1, 19, 1873

Step-4: Factors of 35606

List of positive integer factors of 35606 that divides 35587 without a remainder.

1, 2, 19, 38, 937, 1874, 17803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35587 and 35606. The biggest common factor number is the GCF number.
So the greatest common factor 35587 and 35606 is 19.

Also check out the Least Common Multiple of 35587 and 35606