What is the Greatest Common Factor of 5670 and 5690?

Greatest common factor (GCF) of 5670 and 5690 is 10.

GCF(5670,5690) = 10

We will now calculate the prime factors of 5670 and 5690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5670 and 5690.

How to find the GCF of 5670 and 5690?

We will first find the prime factorization of 5670 and 5690. After we will calculate the factors of 5670 and 5690 and find the biggest common factor number .

Step-1: Prime Factorization of 5670

Prime factors of 5670 are 2, 3, 5, 7. Prime factorization of 5670 in exponential form is:

5670 = 2¹ × 3⁴ × 5¹ × 7¹

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 5670

List of positive integer factors of 5670 that divides 5670 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 81, 90, 105, 126, 135, 162, 189, 210, 270, 315, 378, 405, 567, 630, 810, 945, 1134, 1890, 2835

Step-4: Factors of 5690

List of positive integer factors of 5690 that divides 5670 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5670 and 5690. The biggest common factor number is the GCF number.
So the greatest common factor 5670 and 5690 is 10.

Also check out the Least Common Multiple of 5670 and 5690