What is the Greatest Common Factor of 38935 and 38953?

Greatest common factor (GCF) of 38935 and 38953 is 1.

GCF(38935,38953) = 1

We will now calculate the prime factors of 38935 and 38953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38935 and 38953.

How to find the GCF of 38935 and 38953?

We will first find the prime factorization of 38935 and 38953. After we will calculate the factors of 38935 and 38953 and find the biggest common factor number .

Step-1: Prime Factorization of 38935

Prime factors of 38935 are 5, 13, 599. Prime factorization of 38935 in exponential form is:

38935 = 5¹ × 13¹ × 599¹

Step-2: Prime Factorization of 38953

Prime factors of 38953 are 38953. Prime factorization of 38953 in exponential form is:

38953 = 38953¹

Step-3: Factors of 38935

List of positive integer factors of 38935 that divides 38935 without a remainder.

1, 5, 13, 65, 599, 2995, 7787

Step-4: Factors of 38953

List of positive integer factors of 38953 that divides 38935 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38935 and 38953. The biggest common factor number is the GCF number.
So the greatest common factor 38935 and 38953 is 1.

Also check out the Least Common Multiple of 38935 and 38953