What is the Greatest Common Factor of 27676 and 27680?

Greatest common factor (GCF) of 27676 and 27680 is 4.

GCF(27676,27680) = 4

We will now calculate the prime factors of 27676 and 27680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27676 and 27680.

How to find the GCF of 27676 and 27680?

We will first find the prime factorization of 27676 and 27680. After we will calculate the factors of 27676 and 27680 and find the biggest common factor number .

Step-1: Prime Factorization of 27676

Prime factors of 27676 are 2, 11, 17, 37. Prime factorization of 27676 in exponential form is:

27676 = 2² × 11¹ × 17¹ × 37¹

Step-2: Prime Factorization of 27680

Prime factors of 27680 are 2, 5, 173. Prime factorization of 27680 in exponential form is:

27680 = 2⁵ × 5¹ × 173¹

Step-3: Factors of 27676

List of positive integer factors of 27676 that divides 27676 without a remainder.

1, 2, 4, 11, 17, 22, 34, 37, 44, 68, 74, 148, 187, 374, 407, 629, 748, 814, 1258, 1628, 2516, 6919, 13838

Step-4: Factors of 27680

List of positive integer factors of 27680 that divides 27676 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 173, 346, 692, 865, 1384, 1730, 2768, 3460, 5536, 6920, 13840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27676 and 27680. The biggest common factor number is the GCF number.
So the greatest common factor 27676 and 27680 is 4.

Also check out the Least Common Multiple of 27676 and 27680