What is the Greatest Common Factor of 32838 and 32858?

Greatest common factor (GCF) of 32838 and 32858 is 2.

GCF(32838,32858) = 2

We will now calculate the prime factors of 32838 and 32858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32838 and 32858.

How to find the GCF of 32838 and 32858?

We will first find the prime factorization of 32838 and 32858. After we will calculate the factors of 32838 and 32858 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 32858

Prime factors of 32858 are 2, 7, 2347. Prime factorization of 32858 in exponential form is:

32858 = 2¹ × 7¹ × 2347¹

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 32858

List of positive integer factors of 32858 that divides 32838 without a remainder.

1, 2, 7, 14, 2347, 4694, 16429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32838 and 32858. The biggest common factor number is the GCF number.
So the greatest common factor 32838 and 32858 is 2.

Also check out the Least Common Multiple of 32838 and 32858