What is the Greatest Common Factor of 35556 and 35571?

Greatest common factor (GCF) of 35556 and 35571 is 3.

GCF(35556,35571) = 3

We will now calculate the prime factors of 35556 and 35571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35556 and 35571.

How to find the GCF of 35556 and 35571?

We will first find the prime factorization of 35556 and 35571. After we will calculate the factors of 35556 and 35571 and find the biggest common factor number .

Step-1: Prime Factorization of 35556

Prime factors of 35556 are 2, 3, 2963. Prime factorization of 35556 in exponential form is:

35556 = 2² × 3¹ × 2963¹

Step-2: Prime Factorization of 35571

Prime factors of 35571 are 3, 71, 167. Prime factorization of 35571 in exponential form is:

35571 = 3¹ × 71¹ × 167¹

Step-3: Factors of 35556

List of positive integer factors of 35556 that divides 35556 without a remainder.

1, 2, 3, 4, 6, 12, 2963, 5926, 8889, 11852, 17778

Step-4: Factors of 35571

List of positive integer factors of 35571 that divides 35556 without a remainder.

1, 3, 71, 167, 213, 501, 11857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35556 and 35571. The biggest common factor number is the GCF number.
So the greatest common factor 35556 and 35571 is 3.

Also check out the Least Common Multiple of 35556 and 35571