What is the Greatest Common Factor of 987 and 996?

Greatest common factor (GCF) of 987 and 996 is 3.

GCF(987,996) = 3

We will now calculate the prime factors of 987 and 996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 987 and 996.

How to find the GCF of 987 and 996?

We will first find the prime factorization of 987 and 996. After we will calculate the factors of 987 and 996 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 996

Prime factors of 996 are 2, 3, 83. Prime factorization of 996 in exponential form is:

996 = 2² × 3¹ × 83¹

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 996

List of positive integer factors of 996 that divides 987 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 987 and 996. The biggest common factor number is the GCF number.
So the greatest common factor 987 and 996 is 3.

Also check out the Least Common Multiple of 987 and 996