What is the Greatest Common Factor of 25536 and 25550?

Greatest common factor (GCF) of 25536 and 25550 is 14.

GCF(25536,25550) = 14

We will now calculate the prime factors of 25536 and 25550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25536 and 25550.

How to find the GCF of 25536 and 25550?

We will first find the prime factorization of 25536 and 25550. After we will calculate the factors of 25536 and 25550 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 25550

Prime factors of 25550 are 2, 5, 7, 73. Prime factorization of 25550 in exponential form is:

25550 = 2¹ × 5² × 7¹ × 73¹

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 25550

List of positive integer factors of 25550 that divides 25536 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 73, 146, 175, 350, 365, 511, 730, 1022, 1825, 2555, 3650, 5110, 12775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25536 and 25550. The biggest common factor number is the GCF number.
So the greatest common factor 25536 and 25550 is 14.

Also check out the Least Common Multiple of 25536 and 25550