What is the Greatest Common Factor of 25536 and 25540?

Greatest common factor (GCF) of 25536 and 25540 is 4.

GCF(25536,25540) = 4

We will now calculate the prime factors of 25536 and 25540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25536 and 25540.

How to find the GCF of 25536 and 25540?

We will first find the prime factorization of 25536 and 25540. After we will calculate the factors of 25536 and 25540 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 25540

Prime factors of 25540 are 2, 5, 1277. Prime factorization of 25540 in exponential form is:

25540 = 2² × 5¹ × 1277¹

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 25540

List of positive integer factors of 25540 that divides 25536 without a remainder.

1, 2, 4, 5, 10, 20, 1277, 2554, 5108, 6385, 12770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25536 and 25540. The biggest common factor number is the GCF number.
So the greatest common factor 25536 and 25540 is 4.

Also check out the Least Common Multiple of 25536 and 25540