What is the Greatest Common Factor of 32764 and 32780?

Greatest common factor (GCF) of 32764 and 32780 is 4.

GCF(32764,32780) = 4

We will now calculate the prime factors of 32764 and 32780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32764 and 32780.

How to find the GCF of 32764 and 32780?

We will first find the prime factorization of 32764 and 32780. After we will calculate the factors of 32764 and 32780 and find the biggest common factor number .

Step-1: Prime Factorization of 32764

Prime factors of 32764 are 2, 8191. Prime factorization of 32764 in exponential form is:

32764 = 2² × 8191¹

Step-2: Prime Factorization of 32780

Prime factors of 32780 are 2, 5, 11, 149. Prime factorization of 32780 in exponential form is:

32780 = 2² × 5¹ × 11¹ × 149¹

Step-3: Factors of 32764

List of positive integer factors of 32764 that divides 32764 without a remainder.

1, 2, 4, 8191, 16382

Step-4: Factors of 32780

List of positive integer factors of 32780 that divides 32764 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 149, 220, 298, 596, 745, 1490, 1639, 2980, 3278, 6556, 8195, 16390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32764 and 32780. The biggest common factor number is the GCF number.
So the greatest common factor 32764 and 32780 is 4.

Also check out the Least Common Multiple of 32764 and 32780