What is the Greatest Common Factor of 65577 and 65583?

Greatest common factor (GCF) of 65577 and 65583 is 3.

GCF(65577,65583) = 3

We will now calculate the prime factors of 65577 and 65583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65577 and 65583.

How to find the GCF of 65577 and 65583?

We will first find the prime factorization of 65577 and 65583. After we will calculate the factors of 65577 and 65583 and find the biggest common factor number .

Step-1: Prime Factorization of 65577

Prime factors of 65577 are 3, 21859. Prime factorization of 65577 in exponential form is:

65577 = 3¹ × 21859¹

Step-2: 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-3: Factors of 65577

List of positive integer factors of 65577 that divides 65577 without a remainder.

1, 3, 21859

Step-4: Factors of 65583

List of positive integer factors of 65583 that divides 65577 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65577 and 65583. The biggest common factor number is the GCF number.
So the greatest common factor 65577 and 65583 is 3.

Also check out the Least Common Multiple of 65577 and 65583