What is the Greatest Common Factor of 38598 and 38612?

Greatest common factor (GCF) of 38598 and 38612 is 14.

GCF(38598,38612) = 14

We will now calculate the prime factors of 38598 and 38612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38598 and 38612.

How to find the GCF of 38598 and 38612?

We will first find the prime factorization of 38598 and 38612. After we will calculate the factors of 38598 and 38612 and find the biggest common factor number .

Step-1: Prime Factorization of 38598

Prime factors of 38598 are 2, 3, 7, 919. Prime factorization of 38598 in exponential form is:

38598 = 2¹ × 3¹ × 7¹ × 919¹

Step-2: Prime Factorization of 38612

Prime factors of 38612 are 2, 7, 197. Prime factorization of 38612 in exponential form is:

38612 = 2² × 7² × 197¹

Step-3: Factors of 38598

List of positive integer factors of 38598 that divides 38598 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 919, 1838, 2757, 5514, 6433, 12866, 19299

Step-4: Factors of 38612

List of positive integer factors of 38612 that divides 38598 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 197, 394, 788, 1379, 2758, 5516, 9653, 19306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38598 and 38612. The biggest common factor number is the GCF number.
So the greatest common factor 38598 and 38612 is 14.

Also check out the Least Common Multiple of 38598 and 38612