What is the Greatest Common Factor of 20774 and 20782?

Greatest common factor (GCF) of 20774 and 20782 is 2.

GCF(20774,20782) = 2

We will now calculate the prime factors of 20774 and 20782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20774 and 20782.

How to find the GCF of 20774 and 20782?

We will first find the prime factorization of 20774 and 20782. After we will calculate the factors of 20774 and 20782 and find the biggest common factor number .

Step-1: Prime Factorization of 20774

Prime factors of 20774 are 2, 13, 17, 47. Prime factorization of 20774 in exponential form is:

20774 = 2¹ × 13¹ × 17¹ × 47¹

Step-2: Prime Factorization of 20782

Prime factors of 20782 are 2, 10391. Prime factorization of 20782 in exponential form is:

20782 = 2¹ × 10391¹

Step-3: Factors of 20774

List of positive integer factors of 20774 that divides 20774 without a remainder.

1, 2, 13, 17, 26, 34, 47, 94, 221, 442, 611, 799, 1222, 1598, 10387

Step-4: Factors of 20782

List of positive integer factors of 20782 that divides 20774 without a remainder.

1, 2, 10391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20774 and 20782. The biggest common factor number is the GCF number.
So the greatest common factor 20774 and 20782 is 2.

Also check out the Least Common Multiple of 20774 and 20782