What is the Greatest Common Factor of 71575 and 71582?

Greatest common factor (GCF) of 71575 and 71582 is 7.

GCF(71575,71582) = 7

We will now calculate the prime factors of 71575 and 71582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71575 and 71582.

How to find the GCF of 71575 and 71582?

We will first find the prime factorization of 71575 and 71582. After we will calculate the factors of 71575 and 71582 and find the biggest common factor number .

Step-1: Prime Factorization of 71575

Prime factors of 71575 are 5, 7, 409. Prime factorization of 71575 in exponential form is:

71575 = 5² × 7¹ × 409¹

Step-2: 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-3: Factors of 71575

List of positive integer factors of 71575 that divides 71575 without a remainder.

1, 5, 7, 25, 35, 175, 409, 2045, 2863, 10225, 14315

Step-4: Factors of 71582

List of positive integer factors of 71582 that divides 71575 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71575 and 71582. The biggest common factor number is the GCF number.
So the greatest common factor 71575 and 71582 is 7.

Also check out the Least Common Multiple of 71575 and 71582