What is the Greatest Common Factor of 34377 and 34392?

Greatest common factor (GCF) of 34377 and 34392 is 3.

GCF(34377,34392) = 3

We will now calculate the prime factors of 34377 and 34392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34377 and 34392.

How to find the GCF of 34377 and 34392?

We will first find the prime factorization of 34377 and 34392. After we will calculate the factors of 34377 and 34392 and find the biggest common factor number .

Step-1: Prime Factorization of 34377

Prime factors of 34377 are 3, 7, 1637. Prime factorization of 34377 in exponential form is:

34377 = 3¹ × 7¹ × 1637¹

Step-2: Prime Factorization of 34392

Prime factors of 34392 are 2, 3, 1433. Prime factorization of 34392 in exponential form is:

34392 = 2³ × 3¹ × 1433¹

Step-3: Factors of 34377

List of positive integer factors of 34377 that divides 34377 without a remainder.

1, 3, 7, 21, 1637, 4911, 11459

Step-4: Factors of 34392

List of positive integer factors of 34392 that divides 34377 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1433, 2866, 4299, 5732, 8598, 11464, 17196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34377 and 34392. The biggest common factor number is the GCF number.
So the greatest common factor 34377 and 34392 is 3.

Also check out the Least Common Multiple of 34377 and 34392