What is the Greatest Common Factor of 35844 and 35862?

Greatest common factor (GCF) of 35844 and 35862 is 6.

GCF(35844,35862) = 6

We will now calculate the prime factors of 35844 and 35862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35844 and 35862.

How to find the GCF of 35844 and 35862?

We will first find the prime factorization of 35844 and 35862. After we will calculate the factors of 35844 and 35862 and find the biggest common factor number .

Step-1: Prime Factorization of 35844

Prime factors of 35844 are 2, 3, 29, 103. Prime factorization of 35844 in exponential form is:

35844 = 2² × 3¹ × 29¹ × 103¹

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 35844

List of positive integer factors of 35844 that divides 35844 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 103, 116, 174, 206, 309, 348, 412, 618, 1236, 2987, 5974, 8961, 11948, 17922

Step-4: Factors of 35862

List of positive integer factors of 35862 that divides 35844 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 35844 and 35862. The biggest common factor number is the GCF number.
So the greatest common factor 35844 and 35862 is 6.

Also check out the Least Common Multiple of 35844 and 35862