What is the Greatest Common Factor of 30996 and 31004?

Greatest common factor (GCF) of 30996 and 31004 is 4.

GCF(30996,31004) = 4

We will now calculate the prime factors of 30996 and 31004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30996 and 31004.

How to find the GCF of 30996 and 31004?

We will first find the prime factorization of 30996 and 31004. After we will calculate the factors of 30996 and 31004 and find the biggest common factor number .

Step-1: Prime Factorization of 30996

Prime factors of 30996 are 2, 3, 7, 41. Prime factorization of 30996 in exponential form is:

30996 = 2² × 3³ × 7¹ × 41¹

Step-2: Prime Factorization of 31004

Prime factors of 31004 are 2, 23, 337. Prime factorization of 31004 in exponential form is:

31004 = 2² × 23¹ × 337¹

Step-3: Factors of 30996

List of positive integer factors of 30996 that divides 30996 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 41, 42, 54, 63, 82, 84, 108, 123, 126, 164, 189, 246, 252, 287, 369, 378, 492, 574, 738, 756, 861, 1107, 1148, 1476, 1722, 2214, 2583, 3444, 4428, 5166, 7749, 10332, 15498

Step-4: Factors of 31004

List of positive integer factors of 31004 that divides 30996 without a remainder.

1, 2, 4, 23, 46, 92, 337, 674, 1348, 7751, 15502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30996 and 31004. The biggest common factor number is the GCF number.
So the greatest common factor 30996 and 31004 is 4.

Also check out the Least Common Multiple of 30996 and 31004