What is the Greatest Common Factor of 8235 and 8252?

Greatest common factor (GCF) of 8235 and 8252 is 1.

GCF(8235,8252) = 1

We will now calculate the prime factors of 8235 and 8252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8235 and 8252.

How to find the GCF of 8235 and 8252?

We will first find the prime factorization of 8235 and 8252. After we will calculate the factors of 8235 and 8252 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 8252

Prime factors of 8252 are 2, 2063. Prime factorization of 8252 in exponential form is:

8252 = 2² × 2063¹

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 8252

List of positive integer factors of 8252 that divides 8235 without a remainder.

1, 2, 4, 2063, 4126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8235 and 8252. The biggest common factor number is the GCF number.
So the greatest common factor 8235 and 8252 is 1.

Also check out the Least Common Multiple of 8235 and 8252