What is the Greatest Common Factor of 23785 and 23792?

Greatest common factor (GCF) of 23785 and 23792 is 1.

GCF(23785,23792) = 1

We will now calculate the prime factors of 23785 and 23792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23785 and 23792.

How to find the GCF of 23785 and 23792?

We will first find the prime factorization of 23785 and 23792. After we will calculate the factors of 23785 and 23792 and find the biggest common factor number .

Step-1: Prime Factorization of 23785

Prime factors of 23785 are 5, 67, 71. Prime factorization of 23785 in exponential form is:

23785 = 5¹ × 67¹ × 71¹

Step-2: Prime Factorization of 23792

Prime factors of 23792 are 2, 1487. Prime factorization of 23792 in exponential form is:

23792 = 2⁴ × 1487¹

Step-3: Factors of 23785

List of positive integer factors of 23785 that divides 23785 without a remainder.

1, 5, 67, 71, 335, 355, 4757

Step-4: Factors of 23792

List of positive integer factors of 23792 that divides 23785 without a remainder.

1, 2, 4, 8, 16, 1487, 2974, 5948, 11896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23785 and 23792. The biggest common factor number is the GCF number.
So the greatest common factor 23785 and 23792 is 1.

Also check out the Least Common Multiple of 23785 and 23792