What is the Greatest Common Factor of 26120 and 26140?

Greatest common factor (GCF) of 26120 and 26140 is 20.

GCF(26120,26140) = 20

We will now calculate the prime factors of 26120 and 26140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26120 and 26140.

How to find the GCF of 26120 and 26140?

We will first find the prime factorization of 26120 and 26140. After we will calculate the factors of 26120 and 26140 and find the biggest common factor number .

Step-1: Prime Factorization of 26120

Prime factors of 26120 are 2, 5, 653. Prime factorization of 26120 in exponential form is:

26120 = 2³ × 5¹ × 653¹

Step-2: 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-3: Factors of 26120

List of positive integer factors of 26120 that divides 26120 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 653, 1306, 2612, 3265, 5224, 6530, 13060

Step-4: Factors of 26140

List of positive integer factors of 26140 that divides 26120 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26120 and 26140. The biggest common factor number is the GCF number.
So the greatest common factor 26120 and 26140 is 20.

Also check out the Least Common Multiple of 26120 and 26140