What is the Greatest Common Factor of 71580 and 71594?

Greatest common factor (GCF) of 71580 and 71594 is 2.

GCF(71580,71594) = 2

We will now calculate the prime factors of 71580 and 71594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71580 and 71594.

How to find the GCF of 71580 and 71594?

We will first find the prime factorization of 71580 and 71594. After we will calculate the factors of 71580 and 71594 and find the biggest common factor number .

Step-1: Prime Factorization of 71580

Prime factors of 71580 are 2, 3, 5, 1193. Prime factorization of 71580 in exponential form is:

71580 = 2² × 3¹ × 5¹ × 1193¹

Step-2: Prime Factorization of 71594

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

71594 = 2¹ × 35797¹

Step-3: Factors of 71580

List of positive integer factors of 71580 that divides 71580 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1193, 2386, 3579, 4772, 5965, 7158, 11930, 14316, 17895, 23860, 35790

Step-4: Factors of 71594

List of positive integer factors of 71594 that divides 71580 without a remainder.

1, 2, 35797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71580 and 71594. The biggest common factor number is the GCF number.
So the greatest common factor 71580 and 71594 is 2.

Also check out the Least Common Multiple of 71580 and 71594