What is the Greatest Common Factor of 35882 and 35890?

Greatest common factor (GCF) of 35882 and 35890 is 2.

GCF(35882,35890) = 2

We will now calculate the prime factors of 35882 and 35890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35882 and 35890.

How to find the GCF of 35882 and 35890?

We will first find the prime factorization of 35882 and 35890. After we will calculate the factors of 35882 and 35890 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 35890

Prime factors of 35890 are 2, 5, 37, 97. Prime factorization of 35890 in exponential form is:

35890 = 2¹ × 5¹ × 37¹ × 97¹

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 35890

List of positive integer factors of 35890 that divides 35882 without a remainder.

1, 2, 5, 10, 37, 74, 97, 185, 194, 370, 485, 970, 3589, 7178, 17945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35882 and 35890. The biggest common factor number is the GCF number.
So the greatest common factor 35882 and 35890 is 2.

Also check out the Least Common Multiple of 35882 and 35890