What is the Greatest Common Factor of 25636 and 25649?

Greatest common factor (GCF) of 25636 and 25649 is 13.

GCF(25636,25649) = 13

We will now calculate the prime factors of 25636 and 25649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25636 and 25649.

How to find the GCF of 25636 and 25649?

We will first find the prime factorization of 25636 and 25649. After we will calculate the factors of 25636 and 25649 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 25649

Prime factors of 25649 are 13, 1973. Prime factorization of 25649 in exponential form is:

25649 = 13¹ × 1973¹

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 25649

List of positive integer factors of 25649 that divides 25636 without a remainder.

1, 13, 1973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25636 and 25649. The biggest common factor number is the GCF number.
So the greatest common factor 25636 and 25649 is 13.

Also check out the Least Common Multiple of 25636 and 25649