What is the Greatest Common Factor of 40834 and 40851?

Greatest common factor (GCF) of 40834 and 40851 is 17.

GCF(40834,40851) = 17

We will now calculate the prime factors of 40834 and 40851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40834 and 40851.

How to find the GCF of 40834 and 40851?

We will first find the prime factorization of 40834 and 40851. After we will calculate the factors of 40834 and 40851 and find the biggest common factor number .

Step-1: Prime Factorization of 40834

Prime factors of 40834 are 2, 17, 1201. Prime factorization of 40834 in exponential form is:

40834 = 2¹ × 17¹ × 1201¹

Step-2: Prime Factorization of 40851

Prime factors of 40851 are 3, 17, 89. Prime factorization of 40851 in exponential form is:

40851 = 3³ × 17¹ × 89¹

Step-3: Factors of 40834

List of positive integer factors of 40834 that divides 40834 without a remainder.

1, 2, 17, 34, 1201, 2402, 20417

Step-4: Factors of 40851

List of positive integer factors of 40851 that divides 40834 without a remainder.

1, 3, 9, 17, 27, 51, 89, 153, 267, 459, 801, 1513, 2403, 4539, 13617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40834 and 40851. The biggest common factor number is the GCF number.
So the greatest common factor 40834 and 40851 is 17.

Also check out the Least Common Multiple of 40834 and 40851