What is the Greatest Common Factor of 5680 and 5690?

Greatest common factor (GCF) of 5680 and 5690 is 10.

GCF(5680,5690) = 10

We will now calculate the prime factors of 5680 and 5690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5680 and 5690.

How to find the GCF of 5680 and 5690?

We will first find the prime factorization of 5680 and 5690. After we will calculate the factors of 5680 and 5690 and find the biggest common factor number .

Step-1: Prime Factorization of 5680

Prime factors of 5680 are 2, 5, 71. Prime factorization of 5680 in exponential form is:

5680 = 2⁴ × 5¹ × 71¹

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 5680

List of positive integer factors of 5680 that divides 5680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 71, 80, 142, 284, 355, 568, 710, 1136, 1420, 2840

Step-4: Factors of 5690

List of positive integer factors of 5690 that divides 5680 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5680 and 5690. The biggest common factor number is the GCF number.
So the greatest common factor 5680 and 5690 is 10.

Also check out the Least Common Multiple of 5680 and 5690