What is the Greatest Common Factor of 25632 and 25650?

Greatest common factor (GCF) of 25632 and 25650 is 18.

GCF(25632,25650) = 18

We will now calculate the prime factors of 25632 and 25650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25632 and 25650.

How to find the GCF of 25632 and 25650?

We will first find the prime factorization of 25632 and 25650. After we will calculate the factors of 25632 and 25650 and find the biggest common factor number .

Step-1: Prime Factorization of 25632

Prime factors of 25632 are 2, 3, 89. Prime factorization of 25632 in exponential form is:

25632 = 2⁵ × 3² × 89¹

Step-2: Prime Factorization of 25650

Prime factors of 25650 are 2, 3, 5, 19. Prime factorization of 25650 in exponential form is:

25650 = 2¹ × 3³ × 5² × 19¹

Step-3: Factors of 25632

List of positive integer factors of 25632 that divides 25632 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 89, 96, 144, 178, 267, 288, 356, 534, 712, 801, 1068, 1424, 1602, 2136, 2848, 3204, 4272, 6408, 8544, 12816

Step-4: Factors of 25650

List of positive integer factors of 25650 that divides 25632 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 25, 27, 30, 38, 45, 50, 54, 57, 75, 90, 95, 114, 135, 150, 171, 190, 225, 270, 285, 342, 450, 475, 513, 570, 675, 855, 950, 1026, 1350, 1425, 1710, 2565, 2850, 4275, 5130, 8550, 12825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25632 and 25650. The biggest common factor number is the GCF number.
So the greatest common factor 25632 and 25650 is 18.

Also check out the Least Common Multiple of 25632 and 25650