What is the Greatest Common Factor of 25816 and 25825?

Greatest common factor (GCF) of 25816 and 25825 is 1.

GCF(25816,25825) = 1

We will now calculate the prime factors of 25816 and 25825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25816 and 25825.

How to find the GCF of 25816 and 25825?

We will first find the prime factorization of 25816 and 25825. After we will calculate the factors of 25816 and 25825 and find the biggest common factor number .

Step-1: Prime Factorization of 25816

Prime factors of 25816 are 2, 7, 461. Prime factorization of 25816 in exponential form is:

25816 = 2³ × 7¹ × 461¹

Step-2: Prime Factorization of 25825

Prime factors of 25825 are 5, 1033. Prime factorization of 25825 in exponential form is:

25825 = 5² × 1033¹

Step-3: Factors of 25816

List of positive integer factors of 25816 that divides 25816 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 461, 922, 1844, 3227, 3688, 6454, 12908

Step-4: Factors of 25825

List of positive integer factors of 25825 that divides 25816 without a remainder.

1, 5, 25, 1033, 5165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25816 and 25825. The biggest common factor number is the GCF number.
So the greatest common factor 25816 and 25825 is 1.

Also check out the Least Common Multiple of 25816 and 25825