What is the Greatest Common Factor of 23785 and 23802?

Greatest common factor (GCF) of 23785 and 23802 is 1.

GCF(23785,23802) = 1

We will now calculate the prime factors of 23785 and 23802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23785 and 23802.

How to find the GCF of 23785 and 23802?

We will first find the prime factorization of 23785 and 23802. After we will calculate the factors of 23785 and 23802 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 23802

Prime factors of 23802 are 2, 3, 3967. Prime factorization of 23802 in exponential form is:

23802 = 2¹ × 3¹ × 3967¹

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 23802

List of positive integer factors of 23802 that divides 23785 without a remainder.

1, 2, 3, 6, 3967, 7934, 11901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23785 and 23802. The biggest common factor number is the GCF number.
So the greatest common factor 23785 and 23802 is 1.

Also check out the Least Common Multiple of 23785 and 23802