What is the Greatest Common Factor of 23764 and 23782?

Greatest common factor (GCF) of 23764 and 23782 is 2.

GCF(23764,23782) = 2

We will now calculate the prime factors of 23764 and 23782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23764 and 23782.

How to find the GCF of 23764 and 23782?

We will first find the prime factorization of 23764 and 23782. After we will calculate the factors of 23764 and 23782 and find the biggest common factor number .

Step-1: Prime Factorization of 23764

Prime factors of 23764 are 2, 13, 457. Prime factorization of 23764 in exponential form is:

23764 = 2² × 13¹ × 457¹

Step-2: Prime Factorization of 23782

Prime factors of 23782 are 2, 11, 23, 47. Prime factorization of 23782 in exponential form is:

23782 = 2¹ × 11¹ × 23¹ × 47¹

Step-3: Factors of 23764

List of positive integer factors of 23764 that divides 23764 without a remainder.

1, 2, 4, 13, 26, 52, 457, 914, 1828, 5941, 11882

Step-4: Factors of 23782

List of positive integer factors of 23782 that divides 23764 without a remainder.

1, 2, 11, 22, 23, 46, 47, 94, 253, 506, 517, 1034, 1081, 2162, 11891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23764 and 23782. The biggest common factor number is the GCF number.
So the greatest common factor 23764 and 23782 is 2.

Also check out the Least Common Multiple of 23764 and 23782