What is the Greatest Common Factor of 25522 and 25536?

Greatest common factor (GCF) of 25522 and 25536 is 14.

GCF(25522,25536) = 14

We will now calculate the prime factors of 25522 and 25536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25522 and 25536.

How to find the GCF of 25522 and 25536?

We will first find the prime factorization of 25522 and 25536. After we will calculate the factors of 25522 and 25536 and find the biggest common factor number .

Step-1: Prime Factorization of 25522

Prime factors of 25522 are 2, 7, 1823. Prime factorization of 25522 in exponential form is:

25522 = 2¹ × 7¹ × 1823¹

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 25522

List of positive integer factors of 25522 that divides 25522 without a remainder.

1, 2, 7, 14, 1823, 3646, 12761

Step-4: Factors of 25536

List of positive integer factors of 25536 that divides 25522 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 25522 and 25536. The biggest common factor number is the GCF number.
So the greatest common factor 25522 and 25536 is 14.

Also check out the Least Common Multiple of 25522 and 25536