What is the Greatest Common Factor of 32755 and 32770?

Greatest common factor (GCF) of 32755 and 32770 is 5.

GCF(32755,32770) = 5

We will now calculate the prime factors of 32755 and 32770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32755 and 32770.

How to find the GCF of 32755 and 32770?

We will first find the prime factorization of 32755 and 32770. After we will calculate the factors of 32755 and 32770 and find the biggest common factor number .

Step-1: Prime Factorization of 32755

Prime factors of 32755 are 5, 6551. Prime factorization of 32755 in exponential form is:

32755 = 5¹ × 6551¹

Step-2: Prime Factorization of 32770

Prime factors of 32770 are 2, 5, 29, 113. Prime factorization of 32770 in exponential form is:

32770 = 2¹ × 5¹ × 29¹ × 113¹

Step-3: Factors of 32755

List of positive integer factors of 32755 that divides 32755 without a remainder.

1, 5, 6551

Step-4: Factors of 32770

List of positive integer factors of 32770 that divides 32755 without a remainder.

1, 2, 5, 10, 29, 58, 113, 145, 226, 290, 565, 1130, 3277, 6554, 16385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32755 and 32770. The biggest common factor number is the GCF number.
So the greatest common factor 32755 and 32770 is 5.

Also check out the Least Common Multiple of 32755 and 32770