What is the Greatest Common Factor of 38140 and 38145?

Greatest common factor (GCF) of 38140 and 38145 is 5.

GCF(38140,38145) = 5

We will now calculate the prime factors of 38140 and 38145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38140 and 38145.

How to find the GCF of 38140 and 38145?

We will first find the prime factorization of 38140 and 38145. After we will calculate the factors of 38140 and 38145 and find the biggest common factor number .

Step-1: Prime Factorization of 38140

Prime factors of 38140 are 2, 5, 1907. Prime factorization of 38140 in exponential form is:

38140 = 2² × 5¹ × 1907¹

Step-2: 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-3: Factors of 38140

List of positive integer factors of 38140 that divides 38140 without a remainder.

1, 2, 4, 5, 10, 20, 1907, 3814, 7628, 9535, 19070

Step-4: Factors of 38145

List of positive integer factors of 38145 that divides 38140 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38140 and 38145. The biggest common factor number is the GCF number.
So the greatest common factor 38140 and 38145 is 5.

Also check out the Least Common Multiple of 38140 and 38145