What is the Greatest Common Factor of 32774 and 32790?

Greatest common factor (GCF) of 32774 and 32790 is 2.

GCF(32774,32790) = 2

We will now calculate the prime factors of 32774 and 32790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32774 and 32790.

How to find the GCF of 32774 and 32790?

We will first find the prime factorization of 32774 and 32790. After we will calculate the factors of 32774 and 32790 and find the biggest common factor number .

Step-1: Prime Factorization of 32774

Prime factors of 32774 are 2, 7, 2341. Prime factorization of 32774 in exponential form is:

32774 = 2¹ × 7¹ × 2341¹

Step-2: Prime Factorization of 32790

Prime factors of 32790 are 2, 3, 5, 1093. Prime factorization of 32790 in exponential form is:

32790 = 2¹ × 3¹ × 5¹ × 1093¹

Step-3: Factors of 32774

List of positive integer factors of 32774 that divides 32774 without a remainder.

1, 2, 7, 14, 2341, 4682, 16387

Step-4: Factors of 32790

List of positive integer factors of 32790 that divides 32774 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1093, 2186, 3279, 5465, 6558, 10930, 16395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32774 and 32790. The biggest common factor number is the GCF number.
So the greatest common factor 32774 and 32790 is 2.

Also check out the Least Common Multiple of 32774 and 32790