What is the Greatest Common Factor of 26735 and 26740?

Greatest common factor (GCF) of 26735 and 26740 is 5.

GCF(26735,26740) = 5

We will now calculate the prime factors of 26735 and 26740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26735 and 26740.

How to find the GCF of 26735 and 26740?

We will first find the prime factorization of 26735 and 26740. After we will calculate the factors of 26735 and 26740 and find the biggest common factor number .

Step-1: Prime Factorization of 26735

Prime factors of 26735 are 5, 5347. Prime factorization of 26735 in exponential form is:

26735 = 5¹ × 5347¹

Step-2: Prime Factorization of 26740

Prime factors of 26740 are 2, 5, 7, 191. Prime factorization of 26740 in exponential form is:

26740 = 2² × 5¹ × 7¹ × 191¹

Step-3: Factors of 26735

List of positive integer factors of 26735 that divides 26735 without a remainder.

1, 5, 5347

Step-4: Factors of 26740

List of positive integer factors of 26740 that divides 26735 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 191, 382, 764, 955, 1337, 1910, 2674, 3820, 5348, 6685, 13370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26735 and 26740. The biggest common factor number is the GCF number.
So the greatest common factor 26735 and 26740 is 5.

Also check out the Least Common Multiple of 26735 and 26740