What is the Greatest Common Factor of 65233 and 65247?

Greatest common factor (GCF) of 65233 and 65247 is 7.

GCF(65233,65247) = 7

We will now calculate the prime factors of 65233 and 65247, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65233 and 65247.

How to find the GCF of 65233 and 65247?

We will first find the prime factorization of 65233 and 65247. After we will calculate the factors of 65233 and 65247 and find the biggest common factor number .

Step-1: Prime Factorization of 65233

Prime factors of 65233 are 7, 9319. Prime factorization of 65233 in exponential form is:

65233 = 7¹ × 9319¹

Step-2: Prime Factorization of 65247

Prime factors of 65247 are 3, 7, 13, 239. Prime factorization of 65247 in exponential form is:

65247 = 3¹ × 7¹ × 13¹ × 239¹

Step-3: Factors of 65233

List of positive integer factors of 65233 that divides 65233 without a remainder.

1, 7, 9319

Step-4: Factors of 65247

List of positive integer factors of 65247 that divides 65233 without a remainder.

1, 3, 7, 13, 21, 39, 91, 239, 273, 717, 1673, 3107, 5019, 9321, 21749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65233 and 65247. The biggest common factor number is the GCF number.
So the greatest common factor 65233 and 65247 is 7.

Also check out the Least Common Multiple of 65233 and 65247