What is the Greatest Common Factor of 35846 and 35862?

Greatest common factor (GCF) of 35846 and 35862 is 2.

GCF(35846,35862) = 2

We will now calculate the prime factors of 35846 and 35862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35846 and 35862.

How to find the GCF of 35846 and 35862?

We will first find the prime factorization of 35846 and 35862. After we will calculate the factors of 35846 and 35862 and find the biggest common factor number .

Step-1: Prime Factorization of 35846

Prime factors of 35846 are 2, 17923. Prime factorization of 35846 in exponential form is:

35846 = 2¹ × 17923¹

Step-2: Prime Factorization of 35862

Prime factors of 35862 are 2, 3, 43, 139. Prime factorization of 35862 in exponential form is:

35862 = 2¹ × 3¹ × 43¹ × 139¹

Step-3: Factors of 35846

List of positive integer factors of 35846 that divides 35846 without a remainder.

1, 2, 17923

Step-4: Factors of 35862

List of positive integer factors of 35862 that divides 35846 without a remainder.

1, 2, 3, 6, 43, 86, 129, 139, 258, 278, 417, 834, 5977, 11954, 17931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35846 and 35862. The biggest common factor number is the GCF number.
So the greatest common factor 35846 and 35862 is 2.

Also check out the Least Common Multiple of 35846 and 35862