What is the Greatest Common Factor of 21140 and 21155?

Greatest common factor (GCF) of 21140 and 21155 is 5.

GCF(21140,21155) = 5

We will now calculate the prime factors of 21140 and 21155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21140 and 21155.

How to find the GCF of 21140 and 21155?

We will first find the prime factorization of 21140 and 21155. After we will calculate the factors of 21140 and 21155 and find the biggest common factor number .

Step-1: Prime Factorization of 21140

Prime factors of 21140 are 2, 5, 7, 151. Prime factorization of 21140 in exponential form is:

21140 = 2² × 5¹ × 7¹ × 151¹

Step-2: Prime Factorization of 21155

Prime factors of 21155 are 5, 4231. Prime factorization of 21155 in exponential form is:

21155 = 5¹ × 4231¹

Step-3: Factors of 21140

List of positive integer factors of 21140 that divides 21140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 151, 302, 604, 755, 1057, 1510, 2114, 3020, 4228, 5285, 10570

Step-4: Factors of 21155

List of positive integer factors of 21155 that divides 21140 without a remainder.

1, 5, 4231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21140 and 21155. The biggest common factor number is the GCF number.
So the greatest common factor 21140 and 21155 is 5.

Also check out the Least Common Multiple of 21140 and 21155