What is the Greatest Common Factor of 65384 and 65398?

Greatest common factor (GCF) of 65384 and 65398 is 2.

GCF(65384,65398) = 2

We will now calculate the prime factors of 65384 and 65398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65384 and 65398.

How to find the GCF of 65384 and 65398?

We will first find the prime factorization of 65384 and 65398. After we will calculate the factors of 65384 and 65398 and find the biggest common factor number .

Step-1: Prime Factorization of 65384

Prime factors of 65384 are 2, 11, 743. Prime factorization of 65384 in exponential form is:

65384 = 2³ × 11¹ × 743¹

Step-2: Prime Factorization of 65398

Prime factors of 65398 are 2, 19, 1721. Prime factorization of 65398 in exponential form is:

65398 = 2¹ × 19¹ × 1721¹

Step-3: Factors of 65384

List of positive integer factors of 65384 that divides 65384 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 743, 1486, 2972, 5944, 8173, 16346, 32692

Step-4: Factors of 65398

List of positive integer factors of 65398 that divides 65384 without a remainder.

1, 2, 19, 38, 1721, 3442, 32699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65384 and 65398. The biggest common factor number is the GCF number.
So the greatest common factor 65384 and 65398 is 2.

Also check out the Least Common Multiple of 65384 and 65398