What is the Greatest Common Factor of 26624 and 26640?

Greatest common factor (GCF) of 26624 and 26640 is 16.

GCF(26624,26640) = 16

We will now calculate the prime factors of 26624 and 26640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26624 and 26640.

How to find the GCF of 26624 and 26640?

We will first find the prime factorization of 26624 and 26640. After we will calculate the factors of 26624 and 26640 and find the biggest common factor number .

Step-1: Prime Factorization of 26624

Prime factors of 26624 are 2, 13. Prime factorization of 26624 in exponential form is:

26624 = 2¹¹ × 13¹

Step-2: 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-3: Factors of 26624

List of positive integer factors of 26624 that divides 26624 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 512, 832, 1024, 1664, 2048, 3328, 6656, 13312

Step-4: Factors of 26640

List of positive integer factors of 26640 that divides 26624 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26624 and 26640. The biggest common factor number is the GCF number.
So the greatest common factor 26624 and 26640 is 16.

Also check out the Least Common Multiple of 26624 and 26640