What is the Greatest Common Factor of 71026 and 71030?

Greatest common factor (GCF) of 71026 and 71030 is 2.

GCF(71026,71030) = 2

We will now calculate the prime factors of 71026 and 71030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71026 and 71030.

How to find the GCF of 71026 and 71030?

We will first find the prime factorization of 71026 and 71030. After we will calculate the factors of 71026 and 71030 and find the biggest common factor number .

Step-1: Prime Factorization of 71026

Prime factors of 71026 are 2, 17, 2089. Prime factorization of 71026 in exponential form is:

71026 = 2¹ × 17¹ × 2089¹

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 71026

List of positive integer factors of 71026 that divides 71026 without a remainder.

1, 2, 17, 34, 2089, 4178, 35513

Step-4: Factors of 71030

List of positive integer factors of 71030 that divides 71026 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71026 and 71030. The biggest common factor number is the GCF number.
So the greatest common factor 71026 and 71030 is 2.

Also check out the Least Common Multiple of 71026 and 71030