What is the Greatest Common Factor of 32825 and 32838?

Greatest common factor (GCF) of 32825 and 32838 is 13.

GCF(32825,32838) = 13

We will now calculate the prime factors of 32825 and 32838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32825 and 32838.

How to find the GCF of 32825 and 32838?

We will first find the prime factorization of 32825 and 32838. After we will calculate the factors of 32825 and 32838 and find the biggest common factor number .

Step-1: Prime Factorization of 32825

Prime factors of 32825 are 5, 13, 101. Prime factorization of 32825 in exponential form is:

32825 = 5² × 13¹ × 101¹

Step-2: 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-3: Factors of 32825

List of positive integer factors of 32825 that divides 32825 without a remainder.

1, 5, 13, 25, 65, 101, 325, 505, 1313, 2525, 6565

Step-4: Factors of 32838

List of positive integer factors of 32838 that divides 32825 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32825 and 32838. The biggest common factor number is the GCF number.
So the greatest common factor 32825 and 32838 is 13.

Also check out the Least Common Multiple of 32825 and 32838