What is the Greatest Common Factor of 32825 and 32839?

Greatest common factor (GCF) of 32825 and 32839 is 1.

GCF(32825,32839) = 1

We will now calculate the prime factors of 32825 and 32839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32825 and 32839.

How to find the GCF of 32825 and 32839?

We will first find the prime factorization of 32825 and 32839. After we will calculate the factors of 32825 and 32839 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 32839

Prime factors of 32839 are 32839. Prime factorization of 32839 in exponential form is:

32839 = 32839¹

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 32839

List of positive integer factors of 32839 that divides 32825 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32825 and 32839. The biggest common factor number is the GCF number.
So the greatest common factor 32825 and 32839 is 1.

Also check out the Least Common Multiple of 32825 and 32839