What is the Greatest Common Factor of 25536 and 25552?

Greatest common factor (GCF) of 25536 and 25552 is 16.

GCF(25536,25552) = 16

We will now calculate the prime factors of 25536 and 25552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25536 and 25552.

How to find the GCF of 25536 and 25552?

We will first find the prime factorization of 25536 and 25552. After we will calculate the factors of 25536 and 25552 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 25552

Prime factors of 25552 are 2, 1597. Prime factorization of 25552 in exponential form is:

25552 = 2⁴ × 1597¹

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 25552

List of positive integer factors of 25552 that divides 25536 without a remainder.

1, 2, 4, 8, 16, 1597, 3194, 6388, 12776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25536 and 25552. The biggest common factor number is the GCF number.
So the greatest common factor 25536 and 25552 is 16.

Also check out the Least Common Multiple of 25536 and 25552