What is the Greatest Common Factor of 32750 and 32767?

Greatest common factor (GCF) of 32750 and 32767 is 1.

GCF(32750,32767) = 1

We will now calculate the prime factors of 32750 and 32767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32750 and 32767.

How to find the GCF of 32750 and 32767?

We will first find the prime factorization of 32750 and 32767. After we will calculate the factors of 32750 and 32767 and find the biggest common factor number .

Step-1: Prime Factorization of 32750

Prime factors of 32750 are 2, 5, 131. Prime factorization of 32750 in exponential form is:

32750 = 2¹ × 5³ × 131¹

Step-2: Prime Factorization of 32767

Prime factors of 32767 are 7, 31, 151. Prime factorization of 32767 in exponential form is:

32767 = 7¹ × 31¹ × 151¹

Step-3: Factors of 32750

List of positive integer factors of 32750 that divides 32750 without a remainder.

1, 2, 5, 10, 25, 50, 125, 131, 250, 262, 655, 1310, 3275, 6550, 16375

Step-4: Factors of 32767

List of positive integer factors of 32767 that divides 32750 without a remainder.

1, 7, 31, 151, 217, 1057, 4681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32750 and 32767. The biggest common factor number is the GCF number.
So the greatest common factor 32750 and 32767 is 1.

Also check out the Least Common Multiple of 32750 and 32767