What is the Greatest Common Factor of 71430 and 71444?

Greatest common factor (GCF) of 71430 and 71444 is 2.

GCF(71430,71444) = 2

We will now calculate the prime factors of 71430 and 71444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71430 and 71444.

How to find the GCF of 71430 and 71444?

We will first find the prime factorization of 71430 and 71444. After we will calculate the factors of 71430 and 71444 and find the biggest common factor number .

Step-1: Prime Factorization of 71430

Prime factors of 71430 are 2, 3, 5, 2381. Prime factorization of 71430 in exponential form is:

71430 = 2¹ × 3¹ × 5¹ × 2381¹

Step-2: Prime Factorization of 71444

Prime factors of 71444 are 2, 53, 337. Prime factorization of 71444 in exponential form is:

71444 = 2² × 53¹ × 337¹

Step-3: Factors of 71430

List of positive integer factors of 71430 that divides 71430 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2381, 4762, 7143, 11905, 14286, 23810, 35715

Step-4: Factors of 71444

List of positive integer factors of 71444 that divides 71430 without a remainder.

1, 2, 4, 53, 106, 212, 337, 674, 1348, 17861, 35722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71430 and 71444. The biggest common factor number is the GCF number.
So the greatest common factor 71430 and 71444 is 2.

Also check out the Least Common Multiple of 71430 and 71444