What is the Greatest Common Factor of 25216 and 25229?

Greatest common factor (GCF) of 25216 and 25229 is 1.

GCF(25216,25229) = 1

We will now calculate the prime factors of 25216 and 25229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25216 and 25229.

How to find the GCF of 25216 and 25229?

We will first find the prime factorization of 25216 and 25229. After we will calculate the factors of 25216 and 25229 and find the biggest common factor number .

Step-1: Prime Factorization of 25216

Prime factors of 25216 are 2, 197. Prime factorization of 25216 in exponential form is:

25216 = 2⁷ × 197¹

Step-2: Prime Factorization of 25229

Prime factors of 25229 are 25229. Prime factorization of 25229 in exponential form is:

25229 = 25229¹

Step-3: Factors of 25216

List of positive integer factors of 25216 that divides 25216 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 197, 394, 788, 1576, 3152, 6304, 12608

Step-4: Factors of 25229

List of positive integer factors of 25229 that divides 25216 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25216 and 25229. The biggest common factor number is the GCF number.
So the greatest common factor 25216 and 25229 is 1.

Also check out the Least Common Multiple of 25216 and 25229