What is the Greatest Common Factor of 32816 and 32825?

Greatest common factor (GCF) of 32816 and 32825 is 1.

GCF(32816,32825) = 1

We will now calculate the prime factors of 32816 and 32825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32816 and 32825.

How to find the GCF of 32816 and 32825?

We will first find the prime factorization of 32816 and 32825. After we will calculate the factors of 32816 and 32825 and find the biggest common factor number .

Step-1: Prime Factorization of 32816

Prime factors of 32816 are 2, 7, 293. Prime factorization of 32816 in exponential form is:

32816 = 2⁴ × 7¹ × 293¹

Step-2: 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-3: Factors of 32816

List of positive integer factors of 32816 that divides 32816 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 293, 586, 1172, 2051, 2344, 4102, 4688, 8204, 16408

Step-4: Factors of 32825

List of positive integer factors of 32825 that divides 32816 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32816 and 32825. The biggest common factor number is the GCF number.
So the greatest common factor 32816 and 32825 is 1.

Also check out the Least Common Multiple of 32816 and 32825