What is the Greatest Common Factor of 38975 and 38987?

Greatest common factor (GCF) of 38975 and 38987 is 1.

GCF(38975,38987) = 1

We will now calculate the prime factors of 38975 and 38987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38975 and 38987.

How to find the GCF of 38975 and 38987?

We will first find the prime factorization of 38975 and 38987. After we will calculate the factors of 38975 and 38987 and find the biggest common factor number .

Step-1: Prime Factorization of 38975

Prime factors of 38975 are 5, 1559. Prime factorization of 38975 in exponential form is:

38975 = 5² × 1559¹

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 38975

List of positive integer factors of 38975 that divides 38975 without a remainder.

1, 5, 25, 1559, 7795

Step-4: Factors of 38987

List of positive integer factors of 38987 that divides 38975 without a remainder.

1, 13, 2999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38975 and 38987. The biggest common factor number is the GCF number.
So the greatest common factor 38975 and 38987 is 1.

Also check out the Least Common Multiple of 38975 and 38987