What is the Greatest Common Factor of 71582 and 71588?

Greatest common factor (GCF) of 71582 and 71588 is 2.

GCF(71582,71588) = 2

We will now calculate the prime factors of 71582 and 71588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71582 and 71588.

How to find the GCF of 71582 and 71588?

We will first find the prime factorization of 71582 and 71588. After we will calculate the factors of 71582 and 71588 and find the biggest common factor number .

Step-1: Prime Factorization of 71582

Prime factors of 71582 are 2, 7, 5113. Prime factorization of 71582 in exponential form is:

71582 = 2¹ × 7¹ × 5113¹

Step-2: Prime Factorization of 71588

Prime factors of 71588 are 2, 11, 1627. Prime factorization of 71588 in exponential form is:

71588 = 2² × 11¹ × 1627¹

Step-3: Factors of 71582

List of positive integer factors of 71582 that divides 71582 without a remainder.

1, 2, 7, 14, 5113, 10226, 35791

Step-4: Factors of 71588

List of positive integer factors of 71588 that divides 71582 without a remainder.

1, 2, 4, 11, 22, 44, 1627, 3254, 6508, 17897, 35794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71582 and 71588. The biggest common factor number is the GCF number.
So the greatest common factor 71582 and 71588 is 2.

Also check out the Least Common Multiple of 71582 and 71588