What is the Greatest Common Factor of 25619 and 25636?

Greatest common factor (GCF) of 25619 and 25636 is 17.

GCF(25619,25636) = 17

We will now calculate the prime factors of 25619 and 25636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25619 and 25636.

How to find the GCF of 25619 and 25636?

We will first find the prime factorization of 25619 and 25636. After we will calculate the factors of 25619 and 25636 and find the biggest common factor number .

Step-1: Prime Factorization of 25619

Prime factors of 25619 are 11, 17, 137. Prime factorization of 25619 in exponential form is:

25619 = 11¹ × 17¹ × 137¹

Step-2: 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-3: Factors of 25619

List of positive integer factors of 25619 that divides 25619 without a remainder.

1, 11, 17, 137, 187, 1507, 2329

Step-4: Factors of 25636

List of positive integer factors of 25636 that divides 25619 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25619 and 25636. The biggest common factor number is the GCF number.
So the greatest common factor 25619 and 25636 is 17.

Also check out the Least Common Multiple of 25619 and 25636