What is the Greatest Common Factor of 65583 and 65598?

Greatest common factor (GCF) of 65583 and 65598 is 3.

GCF(65583,65598) = 3

We will now calculate the prime factors of 65583 and 65598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65583 and 65598.

How to find the GCF of 65583 and 65598?

We will first find the prime factorization of 65583 and 65598. After we will calculate the factors of 65583 and 65598 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 65598

Prime factors of 65598 are 2, 3, 13, 29. Prime factorization of 65598 in exponential form is:

65598 = 2¹ × 3¹ × 13¹ × 29²

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 65598

List of positive integer factors of 65598 that divides 65583 without a remainder.

1, 2, 3, 6, 13, 26, 29, 39, 58, 78, 87, 174, 377, 754, 841, 1131, 1682, 2262, 2523, 5046, 10933, 21866, 32799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65583 and 65598. The biggest common factor number is the GCF number.
So the greatest common factor 65583 and 65598 is 3.

Also check out the Least Common Multiple of 65583 and 65598