What is the Greatest Common Factor of 35870 and 35882?

Greatest common factor (GCF) of 35870 and 35882 is 2.

GCF(35870,35882) = 2

We will now calculate the prime factors of 35870 and 35882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35870 and 35882.

How to find the GCF of 35870 and 35882?

We will first find the prime factorization of 35870 and 35882. After we will calculate the factors of 35870 and 35882 and find the biggest common factor number .

Step-1: Prime Factorization of 35870

Prime factors of 35870 are 2, 5, 17, 211. Prime factorization of 35870 in exponential form is:

35870 = 2¹ × 5¹ × 17¹ × 211¹

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 35870

List of positive integer factors of 35870 that divides 35870 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 211, 422, 1055, 2110, 3587, 7174, 17935

Step-4: Factors of 35882

List of positive integer factors of 35882 that divides 35870 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 35870 and 35882. The biggest common factor number is the GCF number.
So the greatest common factor 35870 and 35882 is 2.

Also check out the Least Common Multiple of 35870 and 35882