What is the Greatest Common Factor of 5670 and 5688?

Greatest common factor (GCF) of 5670 and 5688 is 18.

GCF(5670,5688) = 18

We will now calculate the prime factors of 5670 and 5688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5670 and 5688.

How to find the GCF of 5670 and 5688?

We will first find the prime factorization of 5670 and 5688. After we will calculate the factors of 5670 and 5688 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 5688

Prime factors of 5688 are 2, 3, 79. Prime factorization of 5688 in exponential form is:

5688 = 2³ × 3² × 79¹

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 5688

List of positive integer factors of 5688 that divides 5670 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 79, 158, 237, 316, 474, 632, 711, 948, 1422, 1896, 2844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5670 and 5688. The biggest common factor number is the GCF number.
So the greatest common factor 5670 and 5688 is 18.

Also check out the Least Common Multiple of 5670 and 5688