What is the Greatest Common Factor of 71008 and 71021?

Greatest common factor (GCF) of 71008 and 71021 is 1.

GCF(71008,71021) = 1

We will now calculate the prime factors of 71008 and 71021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71008 and 71021.

How to find the GCF of 71008 and 71021?

We will first find the prime factorization of 71008 and 71021. After we will calculate the factors of 71008 and 71021 and find the biggest common factor number .

Step-1: Prime Factorization of 71008

Prime factors of 71008 are 2, 7, 317. Prime factorization of 71008 in exponential form is:

71008 = 2⁵ × 7¹ × 317¹

Step-2: Prime Factorization of 71021

Prime factors of 71021 are 29, 31, 79. Prime factorization of 71021 in exponential form is:

71021 = 29¹ × 31¹ × 79¹

Step-3: Factors of 71008

List of positive integer factors of 71008 that divides 71008 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 317, 634, 1268, 2219, 2536, 4438, 5072, 8876, 10144, 17752, 35504

Step-4: Factors of 71021

List of positive integer factors of 71021 that divides 71008 without a remainder.

1, 29, 31, 79, 899, 2291, 2449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71008 and 71021. The biggest common factor number is the GCF number.
So the greatest common factor 71008 and 71021 is 1.

Also check out the Least Common Multiple of 71008 and 71021