What is the Greatest Common Factor of 71072 and 71089?

Greatest common factor (GCF) of 71072 and 71089 is 1.

GCF(71072,71089) = 1

We will now calculate the prime factors of 71072 and 71089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71072 and 71089.

How to find the GCF of 71072 and 71089?

We will first find the prime factorization of 71072 and 71089. After we will calculate the factors of 71072 and 71089 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 71089

Prime factors of 71089 are 71089. Prime factorization of 71089 in exponential form is:

71089 = 71089¹

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 71089

List of positive integer factors of 71089 that divides 71072 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71072 and 71089. The biggest common factor number is the GCF number.
So the greatest common factor 71072 and 71089 is 1.

Also check out the Least Common Multiple of 71072 and 71089