What is the Greatest Common Factor of 987 and 995?

Greatest common factor (GCF) of 987 and 995 is 1.

GCF(987,995) = 1

We will now calculate the prime factors of 987 and 995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 987 and 995.

How to find the GCF of 987 and 995?

We will first find the prime factorization of 987 and 995. After we will calculate the factors of 987 and 995 and find the biggest common factor number .

Step-1: Prime Factorization of 987

Prime factors of 987 are 3, 7, 47. Prime factorization of 987 in exponential form is:

987 = 3¹ × 7¹ × 47¹

Step-2: Prime Factorization of 995

Prime factors of 995 are 5, 199. Prime factorization of 995 in exponential form is:

995 = 5¹ × 199¹

Step-3: Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329

Step-4: Factors of 995

List of positive integer factors of 995 that divides 987 without a remainder.

1, 5, 199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 987 and 995. The biggest common factor number is the GCF number.
So the greatest common factor 987 and 995 is 1.

Also check out the Least Common Multiple of 987 and 995