What is the Greatest Common Factor of 26160 and 26177?

Greatest common factor (GCF) of 26160 and 26177 is 1.

GCF(26160,26177) = 1

We will now calculate the prime factors of 26160 and 26177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26160 and 26177.

How to find the GCF of 26160 and 26177?

We will first find the prime factorization of 26160 and 26177. After we will calculate the factors of 26160 and 26177 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 26177

Prime factors of 26177 are 26177. Prime factorization of 26177 in exponential form is:

26177 = 26177¹

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 26177

List of positive integer factors of 26177 that divides 26160 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26160 and 26177. The biggest common factor number is the GCF number.
So the greatest common factor 26160 and 26177 is 1.

Also check out the Least Common Multiple of 26160 and 26177