What is the Greatest Common Factor of 57351 and 57369?

Greatest common factor (GCF) of 57351 and 57369 is 3.

GCF(57351,57369) = 3

We will now calculate the prime factors of 57351 and 57369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57351 and 57369.

How to find the GCF of 57351 and 57369?

We will first find the prime factorization of 57351 and 57369. After we will calculate the factors of 57351 and 57369 and find the biggest common factor number .

Step-1: Prime Factorization of 57351

Prime factors of 57351 are 3, 7, 2731. Prime factorization of 57351 in exponential form is:

57351 = 3¹ × 7¹ × 2731¹

Step-2: Prime Factorization of 57369

Prime factors of 57369 are 3, 13, 1471. Prime factorization of 57369 in exponential form is:

57369 = 3¹ × 13¹ × 1471¹

Step-3: Factors of 57351

List of positive integer factors of 57351 that divides 57351 without a remainder.

1, 3, 7, 21, 2731, 8193, 19117

Step-4: Factors of 57369

List of positive integer factors of 57369 that divides 57351 without a remainder.

1, 3, 13, 39, 1471, 4413, 19123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57351 and 57369. The biggest common factor number is the GCF number.
So the greatest common factor 57351 and 57369 is 3.

Also check out the Least Common Multiple of 57351 and 57369