What is the Greatest Common Factor of 7014 and 7031?

Greatest common factor (GCF) of 7014 and 7031 is 1.

GCF(7014,7031) = 1

We will now calculate the prime factors of 7014 and 7031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7014 and 7031.

How to find the GCF of 7014 and 7031?

We will first find the prime factorization of 7014 and 7031. After we will calculate the factors of 7014 and 7031 and find the biggest common factor number .

Step-1: Prime Factorization of 7014

Prime factors of 7014 are 2, 3, 7, 167. Prime factorization of 7014 in exponential form is:

7014 = 2¹ × 3¹ × 7¹ × 167¹

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 7014

List of positive integer factors of 7014 that divides 7014 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 167, 334, 501, 1002, 1169, 2338, 3507

Step-4: Factors of 7031

List of positive integer factors of 7031 that divides 7014 without a remainder.

1, 79, 89

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7014 and 7031. The biggest common factor number is the GCF number.
So the greatest common factor 7014 and 7031 is 1.

Also check out the Least Common Multiple of 7014 and 7031