What is the Greatest Common Factor of 38970 and 38977?

Greatest common factor (GCF) of 38970 and 38977 is 1.

GCF(38970,38977) = 1

We will now calculate the prime factors of 38970 and 38977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38970 and 38977.

How to find the GCF of 38970 and 38977?

We will first find the prime factorization of 38970 and 38977. After we will calculate the factors of 38970 and 38977 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38977

Prime factors of 38977 are 38977. Prime factorization of 38977 in exponential form is:

38977 = 38977¹

Step-3: Factors of 38970

List of positive integer factors of 38970 that divides 38970 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

Step-4: Factors of 38977

List of positive integer factors of 38977 that divides 38970 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38970 and 38977. The biggest common factor number is the GCF number.
So the greatest common factor 38970 and 38977 is 1.

Also check out the Least Common Multiple of 38970 and 38977