What is the Greatest Common Factor of 25536 and 25542?

Greatest common factor (GCF) of 25536 and 25542 is 6.

GCF(25536,25542) = 6

We will now calculate the prime factors of 25536 and 25542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25536 and 25542.

How to find the GCF of 25536 and 25542?

We will first find the prime factorization of 25536 and 25542. After we will calculate the factors of 25536 and 25542 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 25542

Prime factors of 25542 are 2, 3, 11, 43. Prime factorization of 25542 in exponential form is:

25542 = 2¹ × 3³ × 11¹ × 43¹

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 25542

List of positive integer factors of 25542 that divides 25536 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 43, 54, 66, 86, 99, 129, 198, 258, 297, 387, 473, 594, 774, 946, 1161, 1419, 2322, 2838, 4257, 8514, 12771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25536 and 25542. The biggest common factor number is the GCF number.
So the greatest common factor 25536 and 25542 is 6.

Also check out the Least Common Multiple of 25536 and 25542