What is the Greatest Common Factor of 4362 and 4377?

Greatest common factor (GCF) of 4362 and 4377 is 3.

GCF(4362,4377) = 3

We will now calculate the prime factors of 4362 and 4377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4362 and 4377.

How to find the GCF of 4362 and 4377?

We will first find the prime factorization of 4362 and 4377. After we will calculate the factors of 4362 and 4377 and find the biggest common factor number .

Step-1: Prime Factorization of 4362

Prime factors of 4362 are 2, 3, 727. Prime factorization of 4362 in exponential form is:

4362 = 2¹ × 3¹ × 727¹

Step-2: Prime Factorization of 4377

Prime factors of 4377 are 3, 1459. Prime factorization of 4377 in exponential form is:

4377 = 3¹ × 1459¹

Step-3: Factors of 4362

List of positive integer factors of 4362 that divides 4362 without a remainder.

1, 2, 3, 6, 727, 1454, 2181

Step-4: Factors of 4377

List of positive integer factors of 4377 that divides 4362 without a remainder.

1, 3, 1459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4362 and 4377. The biggest common factor number is the GCF number.
So the greatest common factor 4362 and 4377 is 3.

Also check out the Least Common Multiple of 4362 and 4377