What is the Greatest Common Factor of 26140 and 26160?

Greatest common factor (GCF) of 26140 and 26160 is 20.

GCF(26140,26160) = 20

We will now calculate the prime factors of 26140 and 26160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26140 and 26160.

How to find the GCF of 26140 and 26160?

We will first find the prime factorization of 26140 and 26160. After we will calculate the factors of 26140 and 26160 and find the biggest common factor number .

Step-1: Prime Factorization of 26140

Prime factors of 26140 are 2, 5, 1307. Prime factorization of 26140 in exponential form is:

26140 = 2² × 5¹ × 1307¹

Step-2: 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-3: Factors of 26140

List of positive integer factors of 26140 that divides 26140 without a remainder.

1, 2, 4, 5, 10, 20, 1307, 2614, 5228, 6535, 13070

Step-4: Factors of 26160

List of positive integer factors of 26160 that divides 26140 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26140 and 26160. The biggest common factor number is the GCF number.
So the greatest common factor 26140 and 26160 is 20.

Also check out the Least Common Multiple of 26140 and 26160