What is the Greatest Common Factor of 5676 and 5690?

Greatest common factor (GCF) of 5676 and 5690 is 2.

GCF(5676,5690) = 2

We will now calculate the prime factors of 5676 and 5690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5676 and 5690.

How to find the GCF of 5676 and 5690?

We will first find the prime factorization of 5676 and 5690. After we will calculate the factors of 5676 and 5690 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5690

Prime factors of 5690 are 2, 5, 569. Prime factorization of 5690 in exponential form is:

5690 = 2¹ × 5¹ × 569¹

Step-3: Factors of 5676

List of positive integer factors of 5676 that divides 5676 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

Step-4: Factors of 5690

List of positive integer factors of 5690 that divides 5676 without a remainder.

1, 2, 5, 10, 569, 1138, 2845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5676 and 5690. The biggest common factor number is the GCF number.
So the greatest common factor 5676 and 5690 is 2.

Also check out the Least Common Multiple of 5676 and 5690