What is the Greatest Common Factor of 25925 and 25936?

Greatest common factor (GCF) of 25925 and 25936 is 1.

GCF(25925,25936) = 1

We will now calculate the prime factors of 25925 and 25936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25925 and 25936.

How to find the GCF of 25925 and 25936?

We will first find the prime factorization of 25925 and 25936. After we will calculate the factors of 25925 and 25936 and find the biggest common factor number .

Step-1: Prime Factorization of 25925

Prime factors of 25925 are 5, 17, 61. Prime factorization of 25925 in exponential form is:

25925 = 5² × 17¹ × 61¹

Step-2: Prime Factorization of 25936

Prime factors of 25936 are 2, 1621. Prime factorization of 25936 in exponential form is:

25936 = 2⁴ × 1621¹

Step-3: Factors of 25925

List of positive integer factors of 25925 that divides 25925 without a remainder.

1, 5, 17, 25, 61, 85, 305, 425, 1037, 1525, 5185

Step-4: Factors of 25936

List of positive integer factors of 25936 that divides 25925 without a remainder.

1, 2, 4, 8, 16, 1621, 3242, 6484, 12968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25925 and 25936. The biggest common factor number is the GCF number.
So the greatest common factor 25925 and 25936 is 1.

Also check out the Least Common Multiple of 25925 and 25936