What is the Greatest Common Factor of 5664 and 5680?

Greatest common factor (GCF) of 5664 and 5680 is 16.

GCF(5664,5680) = 16

We will now calculate the prime factors of 5664 and 5680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5664 and 5680.

How to find the GCF of 5664 and 5680?

We will first find the prime factorization of 5664 and 5680. After we will calculate the factors of 5664 and 5680 and find the biggest common factor number .

Step-1: Prime Factorization of 5664

Prime factors of 5664 are 2, 3, 59. Prime factorization of 5664 in exponential form is:

5664 = 2⁵ × 3¹ × 59¹

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 5664

List of positive integer factors of 5664 that divides 5664 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 96, 118, 177, 236, 354, 472, 708, 944, 1416, 1888, 2832

Step-4: Factors of 5680

List of positive integer factors of 5680 that divides 5664 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 5664 and 5680. The biggest common factor number is the GCF number.
So the greatest common factor 5664 and 5680 is 16.

Also check out the Least Common Multiple of 5664 and 5680