What is the Greatest Common Factor of 23762 and 23776?

Greatest common factor (GCF) of 23762 and 23776 is 2.

GCF(23762,23776) = 2

We will now calculate the prime factors of 23762 and 23776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23762 and 23776.

How to find the GCF of 23762 and 23776?

We will first find the prime factorization of 23762 and 23776. After we will calculate the factors of 23762 and 23776 and find the biggest common factor number .

Step-1: Prime Factorization of 23762

Prime factors of 23762 are 2, 109. Prime factorization of 23762 in exponential form is:

23762 = 2¹ × 109²

Step-2: Prime Factorization of 23776

Prime factors of 23776 are 2, 743. Prime factorization of 23776 in exponential form is:

23776 = 2⁵ × 743¹

Step-3: Factors of 23762

List of positive integer factors of 23762 that divides 23762 without a remainder.

1, 2, 109, 218, 11881

Step-4: Factors of 23776

List of positive integer factors of 23776 that divides 23762 without a remainder.

1, 2, 4, 8, 16, 32, 743, 1486, 2972, 5944, 11888

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23762 and 23776. The biggest common factor number is the GCF number.
So the greatest common factor 23762 and 23776 is 2.

Also check out the Least Common Multiple of 23762 and 23776