What is the Greatest Common Factor of 38145 and 38164?

Greatest common factor (GCF) of 38145 and 38164 is 1.

GCF(38145,38164) = 1

We will now calculate the prime factors of 38145 and 38164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38145 and 38164.

How to find the GCF of 38145 and 38164?

We will first find the prime factorization of 38145 and 38164. After we will calculate the factors of 38145 and 38164 and find the biggest common factor number .

Step-1: Prime Factorization of 38145

Prime factors of 38145 are 3, 5, 2543. Prime factorization of 38145 in exponential form is:

38145 = 3¹ × 5¹ × 2543¹

Step-2: Prime Factorization of 38164

Prime factors of 38164 are 2, 7, 29, 47. Prime factorization of 38164 in exponential form is:

38164 = 2² × 7¹ × 29¹ × 47¹

Step-3: Factors of 38145

List of positive integer factors of 38145 that divides 38145 without a remainder.

1, 3, 5, 15, 2543, 7629, 12715

Step-4: Factors of 38164

List of positive integer factors of 38164 that divides 38145 without a remainder.

1, 2, 4, 7, 14, 28, 29, 47, 58, 94, 116, 188, 203, 329, 406, 658, 812, 1316, 1363, 2726, 5452, 9541, 19082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38145 and 38164. The biggest common factor number is the GCF number.
So the greatest common factor 38145 and 38164 is 1.

Also check out the Least Common Multiple of 38145 and 38164