What is the Greatest Common Factor of 5662 and 5680?

Greatest common factor (GCF) of 5662 and 5680 is 2.

GCF(5662,5680) = 2

We will now calculate the prime factors of 5662 and 5680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5662 and 5680.

How to find the GCF of 5662 and 5680?

We will first find the prime factorization of 5662 and 5680. After we will calculate the factors of 5662 and 5680 and find the biggest common factor number .

Step-1: Prime Factorization of 5662

Prime factors of 5662 are 2, 19, 149. Prime factorization of 5662 in exponential form is:

5662 = 2¹ × 19¹ × 149¹

Step-2: 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-3: Factors of 5662

List of positive integer factors of 5662 that divides 5662 without a remainder.

1, 2, 19, 38, 149, 298, 2831

Step-4: Factors of 5680

List of positive integer factors of 5680 that divides 5662 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5662 and 5680. The biggest common factor number is the GCF number.
So the greatest common factor 5662 and 5680 is 2.

Also check out the Least Common Multiple of 5662 and 5680