What is the Greatest Common Factor of 25509 and 25520?

Greatest common factor (GCF) of 25509 and 25520 is 11.

GCF(25509,25520) = 11

We will now calculate the prime factors of 25509 and 25520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25509 and 25520.

How to find the GCF of 25509 and 25520?

We will first find the prime factorization of 25509 and 25520. After we will calculate the factors of 25509 and 25520 and find the biggest common factor number .

Step-1: Prime Factorization of 25509

Prime factors of 25509 are 3, 11, 773. Prime factorization of 25509 in exponential form is:

25509 = 3¹ × 11¹ × 773¹

Step-2: Prime Factorization of 25520

Prime factors of 25520 are 2, 5, 11, 29. Prime factorization of 25520 in exponential form is:

25520 = 2⁴ × 5¹ × 11¹ × 29¹

Step-3: Factors of 25509

List of positive integer factors of 25509 that divides 25509 without a remainder.

1, 3, 11, 33, 773, 2319, 8503

Step-4: Factors of 25520

List of positive integer factors of 25520 that divides 25509 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 29, 40, 44, 55, 58, 80, 88, 110, 116, 145, 176, 220, 232, 290, 319, 440, 464, 580, 638, 880, 1160, 1276, 1595, 2320, 2552, 3190, 5104, 6380, 12760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25509 and 25520. The biggest common factor number is the GCF number.
So the greatest common factor 25509 and 25520 is 11.

Also check out the Least Common Multiple of 25509 and 25520