What is the Greatest Common Factor of 35882 and 35900?

Greatest common factor (GCF) of 35882 and 35900 is 2.

GCF(35882,35900) = 2

We will now calculate the prime factors of 35882 and 35900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35882 and 35900.

How to find the GCF of 35882 and 35900?

We will first find the prime factorization of 35882 and 35900. After we will calculate the factors of 35882 and 35900 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35900

Prime factors of 35900 are 2, 5, 359. Prime factorization of 35900 in exponential form is:

35900 = 2² × 5² × 359¹

Step-3: Factors of 35882

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

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

Step-4: Factors of 35900

List of positive integer factors of 35900 that divides 35882 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 359, 718, 1436, 1795, 3590, 7180, 8975, 17950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35882 and 35900. The biggest common factor number is the GCF number.
So the greatest common factor 35882 and 35900 is 2.

Also check out the Least Common Multiple of 35882 and 35900