What is the Greatest Common Factor of 5658 and 5673?

Greatest common factor (GCF) of 5658 and 5673 is 3.

GCF(5658,5673) = 3

We will now calculate the prime factors of 5658 and 5673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5658 and 5673.

How to find the GCF of 5658 and 5673?

We will first find the prime factorization of 5658 and 5673. After we will calculate the factors of 5658 and 5673 and find the biggest common factor number .

Step-1: Prime Factorization of 5658

Prime factors of 5658 are 2, 3, 23, 41. Prime factorization of 5658 in exponential form is:

5658 = 2¹ × 3¹ × 23¹ × 41¹

Step-2: Prime Factorization of 5673

Prime factors of 5673 are 3, 31, 61. Prime factorization of 5673 in exponential form is:

5673 = 3¹ × 31¹ × 61¹

Step-3: Factors of 5658

List of positive integer factors of 5658 that divides 5658 without a remainder.

1, 2, 3, 6, 23, 41, 46, 69, 82, 123, 138, 246, 943, 1886, 2829

Step-4: Factors of 5673

List of positive integer factors of 5673 that divides 5658 without a remainder.

1, 3, 31, 61, 93, 183, 1891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5658 and 5673. The biggest common factor number is the GCF number.
So the greatest common factor 5658 and 5673 is 3.

Also check out the Least Common Multiple of 5658 and 5673