What is the Greatest Common Factor of 25216 and 25224?

Greatest common factor (GCF) of 25216 and 25224 is 8.

GCF(25216,25224) = 8

We will now calculate the prime factors of 25216 and 25224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25216 and 25224.

How to find the GCF of 25216 and 25224?

We will first find the prime factorization of 25216 and 25224. After we will calculate the factors of 25216 and 25224 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 25224

Prime factors of 25224 are 2, 3, 1051. Prime factorization of 25224 in exponential form is:

25224 = 2³ × 3¹ × 1051¹

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 25224

List of positive integer factors of 25224 that divides 25216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1051, 2102, 3153, 4204, 6306, 8408, 12612

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25216 and 25224. The biggest common factor number is the GCF number.
So the greatest common factor 25216 and 25224 is 8.

Also check out the Least Common Multiple of 25216 and 25224