What is the Greatest Common Factor of 5658 and 5676?

Greatest common factor (GCF) of 5658 and 5676 is 6.

GCF(5658,5676) = 6

We will now calculate the prime factors of 5658 and 5676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5658 and 5676.

How to find the GCF of 5658 and 5676?

We will first find the prime factorization of 5658 and 5676. After we will calculate the factors of 5658 and 5676 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 5676

Prime factors of 5676 are 2, 3, 11, 43. Prime factorization of 5676 in exponential form is:

5676 = 2² × 3¹ × 11¹ × 43¹

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 5676

List of positive integer factors of 5676 that divides 5658 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 43, 44, 66, 86, 129, 132, 172, 258, 473, 516, 946, 1419, 1892, 2838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5658 and 5676. The biggest common factor number is the GCF number.
So the greatest common factor 5658 and 5676 is 6.

Also check out the Least Common Multiple of 5658 and 5676