What is the Greatest Common Factor of 25536 and 25548?

Greatest common factor (GCF) of 25536 and 25548 is 12.

GCF(25536,25548) = 12

We will now calculate the prime factors of 25536 and 25548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25536 and 25548.

How to find the GCF of 25536 and 25548?

We will first find the prime factorization of 25536 and 25548. After we will calculate the factors of 25536 and 25548 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 25548

Prime factors of 25548 are 2, 3, 2129. Prime factorization of 25548 in exponential form is:

25548 = 2² × 3¹ × 2129¹

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 25548

List of positive integer factors of 25548 that divides 25536 without a remainder.

1, 2, 3, 4, 6, 12, 2129, 4258, 6387, 8516, 12774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25536 and 25548. The biggest common factor number is the GCF number.
So the greatest common factor 25536 and 25548 is 12.

Also check out the Least Common Multiple of 25536 and 25548