What is the Greatest Common Factor of 93384 and 93398?

Greatest common factor (GCF) of 93384 and 93398 is 2.

GCF(93384,93398) = 2

We will now calculate the prime factors of 93384 and 93398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93384 and 93398.

How to find the GCF of 93384 and 93398?

We will first find the prime factorization of 93384 and 93398. After we will calculate the factors of 93384 and 93398 and find the biggest common factor number .

Step-1: Prime Factorization of 93384

Prime factors of 93384 are 2, 3, 1297. Prime factorization of 93384 in exponential form is:

93384 = 2³ × 3² × 1297¹

Step-2: Prime Factorization of 93398

Prime factors of 93398 are 2, 17, 41, 67. Prime factorization of 93398 in exponential form is:

93398 = 2¹ × 17¹ × 41¹ × 67¹

Step-3: Factors of 93384

List of positive integer factors of 93384 that divides 93384 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1297, 2594, 3891, 5188, 7782, 10376, 11673, 15564, 23346, 31128, 46692

Step-4: Factors of 93398

List of positive integer factors of 93398 that divides 93384 without a remainder.

1, 2, 17, 34, 41, 67, 82, 134, 697, 1139, 1394, 2278, 2747, 5494, 46699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93384 and 93398. The biggest common factor number is the GCF number.
So the greatest common factor 93384 and 93398 is 2.

Also check out the Least Common Multiple of 93384 and 93398