What is the Greatest Common Factor of 32780 and 32798?

Greatest common factor (GCF) of 32780 and 32798 is 2.

GCF(32780,32798) = 2

We will now calculate the prime factors of 32780 and 32798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32780 and 32798.

How to find the GCF of 32780 and 32798?

We will first find the prime factorization of 32780 and 32798. After we will calculate the factors of 32780 and 32798 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32798

Prime factors of 32798 are 2, 23, 31. Prime factorization of 32798 in exponential form is:

32798 = 2¹ × 23² × 31¹

Step-3: Factors of 32780

List of positive integer factors of 32780 that divides 32780 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

Step-4: Factors of 32798

List of positive integer factors of 32798 that divides 32780 without a remainder.

1, 2, 23, 31, 46, 62, 529, 713, 1058, 1426, 16399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32780 and 32798. The biggest common factor number is the GCF number.
So the greatest common factor 32780 and 32798 is 2.

Also check out the Least Common Multiple of 32780 and 32798