What is the Greatest Common Factor of 25530 and 25536?

Greatest common factor (GCF) of 25530 and 25536 is 6.

GCF(25530,25536) = 6

We will now calculate the prime factors of 25530 and 25536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25530 and 25536.

How to find the GCF of 25530 and 25536?

We will first find the prime factorization of 25530 and 25536. After we will calculate the factors of 25530 and 25536 and find the biggest common factor number .

Step-1: Prime Factorization of 25530

Prime factors of 25530 are 2, 3, 5, 23, 37. Prime factorization of 25530 in exponential form is:

25530 = 2¹ × 3¹ × 5¹ × 23¹ × 37¹

Step-2: 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-3: Factors of 25530

List of positive integer factors of 25530 that divides 25530 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 37, 46, 69, 74, 111, 115, 138, 185, 222, 230, 345, 370, 555, 690, 851, 1110, 1702, 2553, 4255, 5106, 8510, 12765

Step-4: Factors of 25536

List of positive integer factors of 25536 that divides 25530 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25530 and 25536. The biggest common factor number is the GCF number.
So the greatest common factor 25530 and 25536 is 6.

Also check out the Least Common Multiple of 25530 and 25536