What is the Greatest Common Factor of 38959 and 38970?

Greatest common factor (GCF) of 38959 and 38970 is 1.

GCF(38959,38970) = 1

We will now calculate the prime factors of 38959 and 38970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38959 and 38970.

How to find the GCF of 38959 and 38970?

We will first find the prime factorization of 38959 and 38970. After we will calculate the factors of 38959 and 38970 and find the biggest common factor number .

Step-1: Prime Factorization of 38959

Prime factors of 38959 are 38959. Prime factorization of 38959 in exponential form is:

38959 = 38959¹

Step-2: Prime Factorization of 38970

Prime factors of 38970 are 2, 3, 5, 433. Prime factorization of 38970 in exponential form is:

38970 = 2¹ × 3² × 5¹ × 433¹

Step-3: Factors of 38959

List of positive integer factors of 38959 that divides 38959 without a remainder.

Step-4: Factors of 38970

List of positive integer factors of 38970 that divides 38959 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 433, 866, 1299, 2165, 2598, 3897, 4330, 6495, 7794, 12990, 19485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38959 and 38970. The biggest common factor number is the GCF number.
So the greatest common factor 38959 and 38970 is 1.

Also check out the Least Common Multiple of 38959 and 38970