What is the Greatest Common Factor of 71594 and 71609?

Greatest common factor (GCF) of 71594 and 71609 is 1.

GCF(71594,71609) = 1

We will now calculate the prime factors of 71594 and 71609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71594 and 71609.

How to find the GCF of 71594 and 71609?

We will first find the prime factorization of 71594 and 71609. After we will calculate the factors of 71594 and 71609 and find the biggest common factor number .

Step-1: Prime Factorization of 71594

Prime factors of 71594 are 2, 35797. Prime factorization of 71594 in exponential form is:

71594 = 2¹ × 35797¹

Step-2: Prime Factorization of 71609

Prime factors of 71609 are 101, 709. Prime factorization of 71609 in exponential form is:

71609 = 101¹ × 709¹

Step-3: Factors of 71594

List of positive integer factors of 71594 that divides 71594 without a remainder.

1, 2, 35797

Step-4: Factors of 71609

List of positive integer factors of 71609 that divides 71594 without a remainder.

1, 101, 709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71594 and 71609. The biggest common factor number is the GCF number.
So the greatest common factor 71594 and 71609 is 1.

Also check out the Least Common Multiple of 71594 and 71609