What is the Greatest Common Factor of 71014 and 71030?

Greatest common factor (GCF) of 71014 and 71030 is 2.

GCF(71014,71030) = 2

We will now calculate the prime factors of 71014 and 71030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71014 and 71030.

How to find the GCF of 71014 and 71030?

We will first find the prime factorization of 71014 and 71030. After we will calculate the factors of 71014 and 71030 and find the biggest common factor number .

Step-1: Prime Factorization of 71014

Prime factors of 71014 are 2, 35507. Prime factorization of 71014 in exponential form is:

71014 = 2¹ × 35507¹

Step-2: Prime Factorization of 71030

Prime factors of 71030 are 2, 5, 7103. Prime factorization of 71030 in exponential form is:

71030 = 2¹ × 5¹ × 7103¹

Step-3: Factors of 71014

List of positive integer factors of 71014 that divides 71014 without a remainder.

1, 2, 35507

Step-4: Factors of 71030

List of positive integer factors of 71030 that divides 71014 without a remainder.

1, 2, 5, 10, 7103, 14206, 35515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71014 and 71030. The biggest common factor number is the GCF number.
So the greatest common factor 71014 and 71030 is 2.

Also check out the Least Common Multiple of 71014 and 71030