What is the Greatest Common Factor of 35870 and 35886?

Greatest common factor (GCF) of 35870 and 35886 is 2.

GCF(35870,35886) = 2

We will now calculate the prime factors of 35870 and 35886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35870 and 35886.

How to find the GCF of 35870 and 35886?

We will first find the prime factorization of 35870 and 35886. After we will calculate the factors of 35870 and 35886 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 35886

Prime factors of 35886 are 2, 3, 5981. Prime factorization of 35886 in exponential form is:

35886 = 2¹ × 3¹ × 5981¹

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 35886

List of positive integer factors of 35886 that divides 35870 without a remainder.

1, 2, 3, 6, 5981, 11962, 17943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35870 and 35886. The biggest common factor number is the GCF number.
So the greatest common factor 35870 and 35886 is 2.

Also check out the Least Common Multiple of 35870 and 35886