What is the Greatest Common Factor of 25636 and 25654?

Greatest common factor (GCF) of 25636 and 25654 is 2.

GCF(25636,25654) = 2

We will now calculate the prime factors of 25636 and 25654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25636 and 25654.

How to find the GCF of 25636 and 25654?

We will first find the prime factorization of 25636 and 25654. After we will calculate the factors of 25636 and 25654 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 25654

Prime factors of 25654 are 2, 101, 127. Prime factorization of 25654 in exponential form is:

25654 = 2¹ × 101¹ × 127¹

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 25654

List of positive integer factors of 25654 that divides 25636 without a remainder.

1, 2, 101, 127, 202, 254, 12827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25636 and 25654. The biggest common factor number is the GCF number.
So the greatest common factor 25636 and 25654 is 2.

Also check out the Least Common Multiple of 25636 and 25654