What is the Greatest Common Factor of 85536 and 85550?

Greatest common factor (GCF) of 85536 and 85550 is 2.

GCF(85536,85550) = 2

We will now calculate the prime factors of 85536 and 85550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85536 and 85550.

How to find the GCF of 85536 and 85550?

We will first find the prime factorization of 85536 and 85550. After we will calculate the factors of 85536 and 85550 and find the biggest common factor number .

Step-1: Prime Factorization of 85536

Prime factors of 85536 are 2, 3, 11. Prime factorization of 85536 in exponential form is:

85536 = 2⁵ × 3⁵ × 11¹

Step-2: Prime Factorization of 85550

Prime factors of 85550 are 2, 5, 29, 59. Prime factorization of 85550 in exponential form is:

85550 = 2¹ × 5² × 29¹ × 59¹

Step-3: Factors of 85536

List of positive integer factors of 85536 that divides 85536 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 66, 72, 81, 88, 96, 99, 108, 132, 144, 162, 176, 198, 216, 243, 264, 288, 297, 324, 352, 396, 432, 486, 528, 594, 648, 792, 864, 891, 972, 1056, 1188, 1296, 1584, 1782, 1944, 2376, 2592, 2673, 3168, 3564, 3888, 4752, 5346, 7128, 7776, 9504, 10692, 14256, 21384, 28512, 42768

Step-4: Factors of 85550

List of positive integer factors of 85550 that divides 85536 without a remainder.

1, 2, 5, 10, 25, 29, 50, 58, 59, 118, 145, 290, 295, 590, 725, 1450, 1475, 1711, 2950, 3422, 8555, 17110, 42775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85536 and 85550. The biggest common factor number is the GCF number.
So the greatest common factor 85536 and 85550 is 2.

Also check out the Least Common Multiple of 85536 and 85550