What is the Greatest Common Factor of 71069 and 71079?

Greatest common factor (GCF) of 71069 and 71079 is 1.

GCF(71069,71079) = 1

We will now calculate the prime factors of 71069 and 71079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71069 and 71079.

How to find the GCF of 71069 and 71079?

We will first find the prime factorization of 71069 and 71079. After we will calculate the factors of 71069 and 71079 and find the biggest common factor number .

Step-1: Prime Factorization of 71069

Prime factors of 71069 are 71069. Prime factorization of 71069 in exponential form is:

71069 = 71069¹

Step-2: Prime Factorization of 71079

Prime factors of 71079 are 3, 19, 29, 43. Prime factorization of 71079 in exponential form is:

71079 = 3¹ × 19¹ × 29¹ × 43¹

Step-3: Factors of 71069

List of positive integer factors of 71069 that divides 71069 without a remainder.

Step-4: Factors of 71079

List of positive integer factors of 71079 that divides 71069 without a remainder.

1, 3, 19, 29, 43, 57, 87, 129, 551, 817, 1247, 1653, 2451, 3741, 23693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71069 and 71079. The biggest common factor number is the GCF number.
So the greatest common factor 71069 and 71079 is 1.

Also check out the Least Common Multiple of 71069 and 71079