What is the Greatest Common Factor of 71072 and 71082?

Greatest common factor (GCF) of 71072 and 71082 is 2.

GCF(71072,71082) = 2

We will now calculate the prime factors of 71072 and 71082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71072 and 71082.

How to find the GCF of 71072 and 71082?

We will first find the prime factorization of 71072 and 71082. After we will calculate the factors of 71072 and 71082 and find the biggest common factor number .

Step-1: Prime Factorization of 71072

Prime factors of 71072 are 2, 2221. Prime factorization of 71072 in exponential form is:

71072 = 2⁵ × 2221¹

Step-2: Prime Factorization of 71082

Prime factors of 71082 are 2, 3, 11, 359. Prime factorization of 71082 in exponential form is:

71082 = 2¹ × 3² × 11¹ × 359¹

Step-3: Factors of 71072

List of positive integer factors of 71072 that divides 71072 without a remainder.

1, 2, 4, 8, 16, 32, 2221, 4442, 8884, 17768, 35536

Step-4: Factors of 71082

List of positive integer factors of 71082 that divides 71072 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 359, 718, 1077, 2154, 3231, 3949, 6462, 7898, 11847, 23694, 35541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71072 and 71082. The biggest common factor number is the GCF number.
So the greatest common factor 71072 and 71082 is 2.

Also check out the Least Common Multiple of 71072 and 71082