What is the Greatest Common Factor of 38982 and 38987?

Greatest common factor (GCF) of 38982 and 38987 is 1.

GCF(38982,38987) = 1

We will now calculate the prime factors of 38982 and 38987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38982 and 38987.

How to find the GCF of 38982 and 38987?

We will first find the prime factorization of 38982 and 38987. After we will calculate the factors of 38982 and 38987 and find the biggest common factor number .

Step-1: Prime Factorization of 38982

Prime factors of 38982 are 2, 3, 73, 89. Prime factorization of 38982 in exponential form is:

38982 = 2¹ × 3¹ × 73¹ × 89¹

Step-2: Prime Factorization of 38987

Prime factors of 38987 are 13, 2999. Prime factorization of 38987 in exponential form is:

38987 = 13¹ × 2999¹

Step-3: Factors of 38982

List of positive integer factors of 38982 that divides 38982 without a remainder.

1, 2, 3, 6, 73, 89, 146, 178, 219, 267, 438, 534, 6497, 12994, 19491

Step-4: Factors of 38987

List of positive integer factors of 38987 that divides 38982 without a remainder.

1, 13, 2999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38982 and 38987. The biggest common factor number is the GCF number.
So the greatest common factor 38982 and 38987 is 1.

Also check out the Least Common Multiple of 38982 and 38987