What is the Greatest Common Factor of 8239 and 8253?

Greatest common factor (GCF) of 8239 and 8253 is 7.

GCF(8239,8253) = 7

We will now calculate the prime factors of 8239 and 8253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8239 and 8253.

How to find the GCF of 8239 and 8253?

We will first find the prime factorization of 8239 and 8253. After we will calculate the factors of 8239 and 8253 and find the biggest common factor number .

Step-1: Prime Factorization of 8239

Prime factors of 8239 are 7, 11, 107. Prime factorization of 8239 in exponential form is:

8239 = 7¹ × 11¹ × 107¹

Step-2: Prime Factorization of 8253

Prime factors of 8253 are 3, 7, 131. Prime factorization of 8253 in exponential form is:

8253 = 3² × 7¹ × 131¹

Step-3: Factors of 8239

List of positive integer factors of 8239 that divides 8239 without a remainder.

1, 7, 11, 77, 107, 749, 1177

Step-4: Factors of 8253

List of positive integer factors of 8253 that divides 8239 without a remainder.

1, 3, 7, 9, 21, 63, 131, 393, 917, 1179, 2751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8239 and 8253. The biggest common factor number is the GCF number.
So the greatest common factor 8239 and 8253 is 7.

Also check out the Least Common Multiple of 8239 and 8253