What is the Greatest Common Factor of 7205 and 7220?

Greatest common factor (GCF) of 7205 and 7220 is 5.

GCF(7205,7220) = 5

We will now calculate the prime factors of 7205 and 7220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7205 and 7220.

How to find the GCF of 7205 and 7220?

We will first find the prime factorization of 7205 and 7220. After we will calculate the factors of 7205 and 7220 and find the biggest common factor number .

Step-1: Prime Factorization of 7205

Prime factors of 7205 are 5, 11, 131. Prime factorization of 7205 in exponential form is:

7205 = 5¹ × 11¹ × 131¹

Step-2: Prime Factorization of 7220

Prime factors of 7220 are 2, 5, 19. Prime factorization of 7220 in exponential form is:

7220 = 2² × 5¹ × 19²

Step-3: Factors of 7205

List of positive integer factors of 7205 that divides 7205 without a remainder.

1, 5, 11, 55, 131, 655, 1441

Step-4: Factors of 7220

List of positive integer factors of 7220 that divides 7205 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 361, 380, 722, 1444, 1805, 3610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7205 and 7220. The biggest common factor number is the GCF number.
So the greatest common factor 7205 and 7220 is 5.

Also check out the Least Common Multiple of 7205 and 7220