What is the Greatest Common Factor of 65298 and 65307?

Greatest common factor (GCF) of 65298 and 65307 is 3.

GCF(65298,65307) = 3

We will now calculate the prime factors of 65298 and 65307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65298 and 65307.

How to find the GCF of 65298 and 65307?

We will first find the prime factorization of 65298 and 65307. After we will calculate the factors of 65298 and 65307 and find the biggest common factor number .

Step-1: Prime Factorization of 65298

Prime factors of 65298 are 2, 3, 10883. Prime factorization of 65298 in exponential form is:

65298 = 2¹ × 3¹ × 10883¹

Step-2: Prime Factorization of 65307

Prime factors of 65307 are 3, 11, 1979. Prime factorization of 65307 in exponential form is:

65307 = 3¹ × 11¹ × 1979¹

Step-3: Factors of 65298

List of positive integer factors of 65298 that divides 65298 without a remainder.

1, 2, 3, 6, 10883, 21766, 32649

Step-4: Factors of 65307

List of positive integer factors of 65307 that divides 65298 without a remainder.

1, 3, 11, 33, 1979, 5937, 21769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65298 and 65307. The biggest common factor number is the GCF number.
So the greatest common factor 65298 and 65307 is 3.

Also check out the Least Common Multiple of 65298 and 65307