What is the Greatest Common Factor of 35871 and 35882?

Greatest common factor (GCF) of 35871 and 35882 is 11.

GCF(35871,35882) = 11

We will now calculate the prime factors of 35871 and 35882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35871 and 35882.

How to find the GCF of 35871 and 35882?

We will first find the prime factorization of 35871 and 35882. After we will calculate the factors of 35871 and 35882 and find the biggest common factor number .

Step-1: Prime Factorization of 35871

Prime factors of 35871 are 3, 11, 1087. Prime factorization of 35871 in exponential form is:

35871 = 3¹ × 11¹ × 1087¹

Step-2: Prime Factorization of 35882

Prime factors of 35882 are 2, 7, 11, 233. Prime factorization of 35882 in exponential form is:

35882 = 2¹ × 7¹ × 11¹ × 233¹

Step-3: Factors of 35871

List of positive integer factors of 35871 that divides 35871 without a remainder.

1, 3, 11, 33, 1087, 3261, 11957

Step-4: Factors of 35882

List of positive integer factors of 35882 that divides 35871 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 233, 466, 1631, 2563, 3262, 5126, 17941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35871 and 35882. The biggest common factor number is the GCF number.
So the greatest common factor 35871 and 35882 is 11.

Also check out the Least Common Multiple of 35871 and 35882