What is the Greatest Common Factor of 32838 and 32851?

Greatest common factor (GCF) of 32838 and 32851 is 13.

GCF(32838,32851) = 13

We will now calculate the prime factors of 32838 and 32851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32838 and 32851.

How to find the GCF of 32838 and 32851?

We will first find the prime factorization of 32838 and 32851. After we will calculate the factors of 32838 and 32851 and find the biggest common factor number .

Step-1: Prime Factorization of 32838

Prime factors of 32838 are 2, 3, 13, 421. Prime factorization of 32838 in exponential form is:

32838 = 2¹ × 3¹ × 13¹ × 421¹

Step-2: Prime Factorization of 32851

Prime factors of 32851 are 7, 13, 19. Prime factorization of 32851 in exponential form is:

32851 = 7¹ × 13¹ × 19²

Step-3: Factors of 32838

List of positive integer factors of 32838 that divides 32838 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 421, 842, 1263, 2526, 5473, 10946, 16419

Step-4: Factors of 32851

List of positive integer factors of 32851 that divides 32838 without a remainder.

1, 7, 13, 19, 91, 133, 247, 361, 1729, 2527, 4693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32838 and 32851. The biggest common factor number is the GCF number.
So the greatest common factor 32838 and 32851 is 13.

Also check out the Least Common Multiple of 32838 and 32851