What is the Greatest Common Factor of 65583 and 65597?

Greatest common factor (GCF) of 65583 and 65597 is 7.

GCF(65583,65597) = 7

We will now calculate the prime factors of 65583 and 65597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65583 and 65597.

How to find the GCF of 65583 and 65597?

We will first find the prime factorization of 65583 and 65597. After we will calculate the factors of 65583 and 65597 and find the biggest common factor number .

Step-1: Prime Factorization of 65583

Prime factors of 65583 are 3, 7, 347. Prime factorization of 65583 in exponential form is:

65583 = 3³ × 7¹ × 347¹

Step-2: Prime Factorization of 65597

Prime factors of 65597 are 7, 9371. Prime factorization of 65597 in exponential form is:

65597 = 7¹ × 9371¹

Step-3: Factors of 65583

List of positive integer factors of 65583 that divides 65583 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 347, 1041, 2429, 3123, 7287, 9369, 21861

Step-4: Factors of 65597

List of positive integer factors of 65597 that divides 65583 without a remainder.

1, 7, 9371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65583 and 65597. The biggest common factor number is the GCF number.
So the greatest common factor 65583 and 65597 is 7.

Also check out the Least Common Multiple of 65583 and 65597