What is the Greatest Common Factor of 25536 and 25554?

Greatest common factor (GCF) of 25536 and 25554 is 6.

GCF(25536,25554) = 6

We will now calculate the prime factors of 25536 and 25554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25536 and 25554.

How to find the GCF of 25536 and 25554?

We will first find the prime factorization of 25536 and 25554. After we will calculate the factors of 25536 and 25554 and find the biggest common factor number .

Step-1: Prime Factorization of 25536

Prime factors of 25536 are 2, 3, 7, 19. Prime factorization of 25536 in exponential form is:

25536 = 2⁶ × 3¹ × 7¹ × 19¹

Step-2: Prime Factorization of 25554

Prime factors of 25554 are 2, 3, 4259. Prime factorization of 25554 in exponential form is:

25554 = 2¹ × 3¹ × 4259¹

Step-3: Factors of 25536

List of positive integer factors of 25536 that divides 25536 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 19, 21, 24, 28, 32, 38, 42, 48, 56, 57, 64, 76, 84, 96, 112, 114, 133, 152, 168, 192, 224, 228, 266, 304, 336, 399, 448, 456, 532, 608, 672, 798, 912, 1064, 1216, 1344, 1596, 1824, 2128, 3192, 3648, 4256, 6384, 8512, 12768

Step-4: Factors of 25554

List of positive integer factors of 25554 that divides 25536 without a remainder.

1, 2, 3, 6, 4259, 8518, 12777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25536 and 25554. The biggest common factor number is the GCF number.
So the greatest common factor 25536 and 25554 is 6.

Also check out the Least Common Multiple of 25536 and 25554