What is the Greatest Common Factor of 39846 and 39858?

Greatest common factor (GCF) of 39846 and 39858 is 6.

GCF(39846,39858) = 6

We will now calculate the prime factors of 39846 and 39858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39846 and 39858.

How to find the GCF of 39846 and 39858?

We will first find the prime factorization of 39846 and 39858. After we will calculate the factors of 39846 and 39858 and find the biggest common factor number .

Step-1: Prime Factorization of 39846

Prime factors of 39846 are 2, 3, 29, 229. Prime factorization of 39846 in exponential form is:

39846 = 2¹ × 3¹ × 29¹ × 229¹

Step-2: Prime Factorization of 39858

Prime factors of 39858 are 2, 3, 7, 13, 73. Prime factorization of 39858 in exponential form is:

39858 = 2¹ × 3¹ × 7¹ × 13¹ × 73¹

Step-3: Factors of 39846

List of positive integer factors of 39846 that divides 39846 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 229, 458, 687, 1374, 6641, 13282, 19923

Step-4: Factors of 39858

List of positive integer factors of 39858 that divides 39846 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 73, 78, 91, 146, 182, 219, 273, 438, 511, 546, 949, 1022, 1533, 1898, 2847, 3066, 5694, 6643, 13286, 19929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39846 and 39858. The biggest common factor number is the GCF number.
So the greatest common factor 39846 and 39858 is 6.

Also check out the Least Common Multiple of 39846 and 39858