What is the Greatest Common Factor of 32550 and 32564?

Greatest common factor (GCF) of 32550 and 32564 is 14.

GCF(32550,32564) = 14

We will now calculate the prime factors of 32550 and 32564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32550 and 32564.

How to find the GCF of 32550 and 32564?

We will first find the prime factorization of 32550 and 32564. After we will calculate the factors of 32550 and 32564 and find the biggest common factor number .

Step-1: Prime Factorization of 32550

Prime factors of 32550 are 2, 3, 5, 7, 31. Prime factorization of 32550 in exponential form is:

32550 = 2¹ × 3¹ × 5² × 7¹ × 31¹

Step-2: Prime Factorization of 32564

Prime factors of 32564 are 2, 7, 1163. Prime factorization of 32564 in exponential form is:

32564 = 2² × 7¹ × 1163¹

Step-3: Factors of 32550

List of positive integer factors of 32550 that divides 32550 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 31, 35, 42, 50, 62, 70, 75, 93, 105, 150, 155, 175, 186, 210, 217, 310, 350, 434, 465, 525, 651, 775, 930, 1050, 1085, 1302, 1550, 2170, 2325, 3255, 4650, 5425, 6510, 10850, 16275

Step-4: Factors of 32564

List of positive integer factors of 32564 that divides 32550 without a remainder.

1, 2, 4, 7, 14, 28, 1163, 2326, 4652, 8141, 16282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32550 and 32564. The biggest common factor number is the GCF number.
So the greatest common factor 32550 and 32564 is 14.

Also check out the Least Common Multiple of 32550 and 32564