What is the Greatest Common Factor of 8235 and 8240?

Greatest common factor (GCF) of 8235 and 8240 is 5.

GCF(8235,8240) = 5

We will now calculate the prime factors of 8235 and 8240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8235 and 8240.

How to find the GCF of 8235 and 8240?

We will first find the prime factorization of 8235 and 8240. After we will calculate the factors of 8235 and 8240 and find the biggest common factor number .

Step-1: Prime Factorization of 8235

Prime factors of 8235 are 3, 5, 61. Prime factorization of 8235 in exponential form is:

8235 = 3³ × 5¹ × 61¹

Step-2: Prime Factorization of 8240

Prime factors of 8240 are 2, 5, 103. Prime factorization of 8240 in exponential form is:

8240 = 2⁴ × 5¹ × 103¹

Step-3: Factors of 8235

List of positive integer factors of 8235 that divides 8235 without a remainder.

1, 3, 5, 9, 15, 27, 45, 61, 135, 183, 305, 549, 915, 1647, 2745

Step-4: Factors of 8240

List of positive integer factors of 8240 that divides 8235 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 103, 206, 412, 515, 824, 1030, 1648, 2060, 4120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8235 and 8240. The biggest common factor number is the GCF number.
So the greatest common factor 8235 and 8240 is 5.

Also check out the Least Common Multiple of 8235 and 8240