What is the Greatest Common Factor of 26160 and 26172?

Greatest common factor (GCF) of 26160 and 26172 is 12.

GCF(26160,26172) = 12

We will now calculate the prime factors of 26160 and 26172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26160 and 26172.

How to find the GCF of 26160 and 26172?

We will first find the prime factorization of 26160 and 26172. After we will calculate the factors of 26160 and 26172 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 26172

Prime factors of 26172 are 2, 3, 727. Prime factorization of 26172 in exponential form is:

26172 = 2² × 3² × 727¹

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 26172

List of positive integer factors of 26172 that divides 26160 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 727, 1454, 2181, 2908, 4362, 6543, 8724, 13086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26160 and 26172. The biggest common factor number is the GCF number.
So the greatest common factor 26160 and 26172 is 12.

Also check out the Least Common Multiple of 26160 and 26172