What is the Greatest Common Factor of 25636 and 25648?

Greatest common factor (GCF) of 25636 and 25648 is 4.

GCF(25636,25648) = 4

We will now calculate the prime factors of 25636 and 25648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25636 and 25648.

How to find the GCF of 25636 and 25648?

We will first find the prime factorization of 25636 and 25648. After we will calculate the factors of 25636 and 25648 and find the biggest common factor number .

Step-1: Prime Factorization of 25636

Prime factors of 25636 are 2, 13, 17, 29. Prime factorization of 25636 in exponential form is:

25636 = 2² × 13¹ × 17¹ × 29¹

Step-2: Prime Factorization of 25648

Prime factors of 25648 are 2, 7, 229. Prime factorization of 25648 in exponential form is:

25648 = 2⁴ × 7¹ × 229¹

Step-3: Factors of 25636

List of positive integer factors of 25636 that divides 25636 without a remainder.

1, 2, 4, 13, 17, 26, 29, 34, 52, 58, 68, 116, 221, 377, 442, 493, 754, 884, 986, 1508, 1972, 6409, 12818

Step-4: Factors of 25648

List of positive integer factors of 25648 that divides 25636 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 229, 458, 916, 1603, 1832, 3206, 3664, 6412, 12824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25636 and 25648. The biggest common factor number is the GCF number.
So the greatest common factor 25636 and 25648 is 4.

Also check out the Least Common Multiple of 25636 and 25648