What is the Greatest Common Factor of 26160 and 26176?

Greatest common factor (GCF) of 26160 and 26176 is 16.

GCF(26160,26176) = 16

We will now calculate the prime factors of 26160 and 26176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26160 and 26176.

How to find the GCF of 26160 and 26176?

We will first find the prime factorization of 26160 and 26176. After we will calculate the factors of 26160 and 26176 and find the biggest common factor number .

Step-1: Prime Factorization of 26160

Prime factors of 26160 are 2, 3, 5, 109. Prime factorization of 26160 in exponential form is:

26160 = 2⁴ × 3¹ × 5¹ × 109¹

Step-2: Prime Factorization of 26176

Prime factors of 26176 are 2, 409. Prime factorization of 26176 in exponential form is:

26176 = 2⁶ × 409¹

Step-3: Factors of 26160

List of positive integer factors of 26160 that divides 26160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 109, 120, 218, 240, 327, 436, 545, 654, 872, 1090, 1308, 1635, 1744, 2180, 2616, 3270, 4360, 5232, 6540, 8720, 13080

Step-4: Factors of 26176

List of positive integer factors of 26176 that divides 26160 without a remainder.

1, 2, 4, 8, 16, 32, 64, 409, 818, 1636, 3272, 6544, 13088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26160 and 26176. The biggest common factor number is the GCF number.
So the greatest common factor 26160 and 26176 is 16.

Also check out the Least Common Multiple of 26160 and 26176