What is the Greatest Common Factor of 5754 and 5769?

Greatest common factor (GCF) of 5754 and 5769 is 3.

GCF(5754,5769) = 3

We will now calculate the prime factors of 5754 and 5769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5754 and 5769.

How to find the GCF of 5754 and 5769?

We will first find the prime factorization of 5754 and 5769. After we will calculate the factors of 5754 and 5769 and find the biggest common factor number .

Step-1: Prime Factorization of 5754

Prime factors of 5754 are 2, 3, 7, 137. Prime factorization of 5754 in exponential form is:

5754 = 2¹ × 3¹ × 7¹ × 137¹

Step-2: Prime Factorization of 5769

Prime factors of 5769 are 3, 641. Prime factorization of 5769 in exponential form is:

5769 = 3² × 641¹

Step-3: Factors of 5754

List of positive integer factors of 5754 that divides 5754 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877

Step-4: Factors of 5769

List of positive integer factors of 5769 that divides 5754 without a remainder.

1, 3, 9, 641, 1923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5754 and 5769. The biggest common factor number is the GCF number.
So the greatest common factor 5754 and 5769 is 3.

Also check out the Least Common Multiple of 5754 and 5769