What is the Greatest Common Factor of 30996 and 31001?

Greatest common factor (GCF) of 30996 and 31001 is 1.

GCF(30996,31001) = 1

We will now calculate the prime factors of 30996 and 31001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30996 and 31001.

How to find the GCF of 30996 and 31001?

We will first find the prime factorization of 30996 and 31001. After we will calculate the factors of 30996 and 31001 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 31001

Prime factors of 31001 are 29, 1069. Prime factorization of 31001 in exponential form is:

31001 = 29¹ × 1069¹

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 31001

List of positive integer factors of 31001 that divides 30996 without a remainder.

1, 29, 1069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30996 and 31001. The biggest common factor number is the GCF number.
So the greatest common factor 30996 and 31001 is 1.

Also check out the Least Common Multiple of 30996 and 31001