What is the Greatest Common Factor of 26640 and 26657?

Greatest common factor (GCF) of 26640 and 26657 is 1.

GCF(26640,26657) = 1

We will now calculate the prime factors of 26640 and 26657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26640 and 26657.

How to find the GCF of 26640 and 26657?

We will first find the prime factorization of 26640 and 26657. After we will calculate the factors of 26640 and 26657 and find the biggest common factor number .

Step-1: Prime Factorization of 26640

Prime factors of 26640 are 2, 3, 5, 37. Prime factorization of 26640 in exponential form is:

26640 = 2⁴ × 3² × 5¹ × 37¹

Step-2: Prime Factorization of 26657

Prime factors of 26657 are 19, 23, 61. Prime factorization of 26657 in exponential form is:

26657 = 19¹ × 23¹ × 61¹

Step-3: Factors of 26640

List of positive integer factors of 26640 that divides 26640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 37, 40, 45, 48, 60, 72, 74, 80, 90, 111, 120, 144, 148, 180, 185, 222, 240, 296, 333, 360, 370, 444, 555, 592, 666, 720, 740, 888, 1110, 1332, 1480, 1665, 1776, 2220, 2664, 2960, 3330, 4440, 5328, 6660, 8880, 13320

Step-4: Factors of 26657

List of positive integer factors of 26657 that divides 26640 without a remainder.

1, 19, 23, 61, 437, 1159, 1403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26640 and 26657. The biggest common factor number is the GCF number.
So the greatest common factor 26640 and 26657 is 1.

Also check out the Least Common Multiple of 26640 and 26657