What is the Greatest Common Factor of 65246 and 65263?

Greatest common factor (GCF) of 65246 and 65263 is 17.

GCF(65246,65263) = 17

We will now calculate the prime factors of 65246 and 65263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65246 and 65263.

How to find the GCF of 65246 and 65263?

We will first find the prime factorization of 65246 and 65263. After we will calculate the factors of 65246 and 65263 and find the biggest common factor number .

Step-1: Prime Factorization of 65246

Prime factors of 65246 are 2, 17, 19, 101. Prime factorization of 65246 in exponential form is:

65246 = 2¹ × 17¹ × 19¹ × 101¹

Step-2: Prime Factorization of 65263

Prime factors of 65263 are 11, 17, 349. Prime factorization of 65263 in exponential form is:

65263 = 11¹ × 17¹ × 349¹

Step-3: Factors of 65246

List of positive integer factors of 65246 that divides 65246 without a remainder.

1, 2, 17, 19, 34, 38, 101, 202, 323, 646, 1717, 1919, 3434, 3838, 32623

Step-4: Factors of 65263

List of positive integer factors of 65263 that divides 65246 without a remainder.

1, 11, 17, 187, 349, 3839, 5933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65246 and 65263. The biggest common factor number is the GCF number.
So the greatest common factor 65246 and 65263 is 17.

Also check out the Least Common Multiple of 65246 and 65263