What is the Greatest Common Factor of 7031 and 7041?

Greatest common factor (GCF) of 7031 and 7041 is 1.

GCF(7031,7041) = 1

We will now calculate the prime factors of 7031 and 7041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7031 and 7041.

How to find the GCF of 7031 and 7041?

We will first find the prime factorization of 7031 and 7041. After we will calculate the factors of 7031 and 7041 and find the biggest common factor number .

Step-1: Prime Factorization of 7031

Prime factors of 7031 are 79, 89. Prime factorization of 7031 in exponential form is:

7031 = 79¹ × 89¹

Step-2: Prime Factorization of 7041

Prime factors of 7041 are 3, 2347. Prime factorization of 7041 in exponential form is:

7041 = 3¹ × 2347¹

Step-3: Factors of 7031

List of positive integer factors of 7031 that divides 7031 without a remainder.

1, 79, 89

Step-4: Factors of 7041

List of positive integer factors of 7041 that divides 7031 without a remainder.

1, 3, 2347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7031 and 7041. The biggest common factor number is the GCF number.
So the greatest common factor 7031 and 7041 is 1.

Also check out the Least Common Multiple of 7031 and 7041