What is the Greatest Common Factor of 28987 and 28997?

Greatest common factor (GCF) of 28987 and 28997 is 1.

GCF(28987,28997) = 1

We will now calculate the prime factors of 28987 and 28997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28987 and 28997.

How to find the GCF of 28987 and 28997?

We will first find the prime factorization of 28987 and 28997. After we will calculate the factors of 28987 and 28997 and find the biggest common factor number .

Step-1: Prime Factorization of 28987

Prime factors of 28987 are 7, 41, 101. Prime factorization of 28987 in exponential form is:

28987 = 7¹ × 41¹ × 101¹

Step-2: Prime Factorization of 28997

Prime factors of 28997 are 107, 271. Prime factorization of 28997 in exponential form is:

28997 = 107¹ × 271¹

Step-3: Factors of 28987

List of positive integer factors of 28987 that divides 28987 without a remainder.

1, 7, 41, 101, 287, 707, 4141

Step-4: Factors of 28997

List of positive integer factors of 28997 that divides 28987 without a remainder.

1, 107, 271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28987 and 28997. The biggest common factor number is the GCF number.
So the greatest common factor 28987 and 28997 is 1.

Also check out the Least Common Multiple of 28987 and 28997