What is the Greatest Common Factor of 30996 and 31007?

Greatest common factor (GCF) of 30996 and 31007 is 1.

GCF(30996,31007) = 1

We will now calculate the prime factors of 30996 and 31007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30996 and 31007.

How to find the GCF of 30996 and 31007?

We will first find the prime factorization of 30996 and 31007. After we will calculate the factors of 30996 and 31007 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 31007

Prime factors of 31007 are 101, 307. Prime factorization of 31007 in exponential form is:

31007 = 101¹ × 307¹

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 31007

List of positive integer factors of 31007 that divides 30996 without a remainder.

1, 101, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30996 and 31007. The biggest common factor number is the GCF number.
So the greatest common factor 30996 and 31007 is 1.

Also check out the Least Common Multiple of 30996 and 31007