What is the Greatest Common Factor of 10031 and 10038?

Greatest common factor (GCF) of 10031 and 10038 is 7.

GCF(10031,10038) = 7

We will now calculate the prime factors of 10031 and 10038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10031 and 10038.

How to find the GCF of 10031 and 10038?

We will first find the prime factorization of 10031 and 10038. After we will calculate the factors of 10031 and 10038 and find the biggest common factor number .

Step-1: Prime Factorization of 10031

Prime factors of 10031 are 7, 1433. Prime factorization of 10031 in exponential form is:

10031 = 7¹ × 1433¹

Step-2: Prime Factorization of 10038

Prime factors of 10038 are 2, 3, 7, 239. Prime factorization of 10038 in exponential form is:

10038 = 2¹ × 3¹ × 7¹ × 239¹

Step-3: Factors of 10031

List of positive integer factors of 10031 that divides 10031 without a remainder.

1, 7, 1433

Step-4: Factors of 10038

List of positive integer factors of 10038 that divides 10031 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 239, 478, 717, 1434, 1673, 3346, 5019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10031 and 10038. The biggest common factor number is the GCF number.
So the greatest common factor 10031 and 10038 is 7.

Also check out the Least Common Multiple of 10031 and 10038