What is the Greatest Common Factor of 7012 and 7031?

Greatest common factor (GCF) of 7012 and 7031 is 1.

GCF(7012,7031) = 1

We will now calculate the prime factors of 7012 and 7031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7012 and 7031.

How to find the GCF of 7012 and 7031?

We will first find the prime factorization of 7012 and 7031. After we will calculate the factors of 7012 and 7031 and find the biggest common factor number .

Step-1: Prime Factorization of 7012

Prime factors of 7012 are 2, 1753. Prime factorization of 7012 in exponential form is:

7012 = 2² × 1753¹

Step-2: Prime Factorization of 7031

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

7031 = 79¹ × 89¹

Step-3: Factors of 7012

List of positive integer factors of 7012 that divides 7012 without a remainder.

1, 2, 4, 1753, 3506

Step-4: Factors of 7031

List of positive integer factors of 7031 that divides 7012 without a remainder.

1, 79, 89

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7012 and 7031. The biggest common factor number is the GCF number.
So the greatest common factor 7012 and 7031 is 1.

Also check out the Least Common Multiple of 7012 and 7031