What is the Greatest Common Factor of 65289 and 65301?

Greatest common factor (GCF) of 65289 and 65301 is 3.

GCF(65289,65301) = 3

We will now calculate the prime factors of 65289 and 65301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65289 and 65301.

How to find the GCF of 65289 and 65301?

We will first find the prime factorization of 65289 and 65301. After we will calculate the factors of 65289 and 65301 and find the biggest common factor number .

Step-1: Prime Factorization of 65289

Prime factors of 65289 are 3, 7, 3109. Prime factorization of 65289 in exponential form is:

65289 = 3¹ × 7¹ × 3109¹

Step-2: Prime Factorization of 65301

Prime factors of 65301 are 3, 21767. Prime factorization of 65301 in exponential form is:

65301 = 3¹ × 21767¹

Step-3: Factors of 65289

List of positive integer factors of 65289 that divides 65289 without a remainder.

1, 3, 7, 21, 3109, 9327, 21763

Step-4: Factors of 65301

List of positive integer factors of 65301 that divides 65289 without a remainder.

1, 3, 21767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65289 and 65301. The biggest common factor number is the GCF number.
So the greatest common factor 65289 and 65301 is 3.

Also check out the Least Common Multiple of 65289 and 65301