What is the Greatest Common Factor of 38945 and 38958?

Greatest common factor (GCF) of 38945 and 38958 is 1.

GCF(38945,38958) = 1

We will now calculate the prime factors of 38945 and 38958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38945 and 38958.

How to find the GCF of 38945 and 38958?

We will first find the prime factorization of 38945 and 38958. After we will calculate the factors of 38945 and 38958 and find the biggest common factor number .

Step-1: Prime Factorization of 38945

Prime factors of 38945 are 5, 7789. Prime factorization of 38945 in exponential form is:

38945 = 5¹ × 7789¹

Step-2: Prime Factorization of 38958

Prime factors of 38958 are 2, 3, 43, 151. Prime factorization of 38958 in exponential form is:

38958 = 2¹ × 3¹ × 43¹ × 151¹

Step-3: Factors of 38945

List of positive integer factors of 38945 that divides 38945 without a remainder.

1, 5, 7789

Step-4: Factors of 38958

List of positive integer factors of 38958 that divides 38945 without a remainder.

1, 2, 3, 6, 43, 86, 129, 151, 258, 302, 453, 906, 6493, 12986, 19479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38945 and 38958. The biggest common factor number is the GCF number.
So the greatest common factor 38945 and 38958 is 1.

Also check out the Least Common Multiple of 38945 and 38958