What is the Greatest Common Factor of 71582 and 71596?

Greatest common factor (GCF) of 71582 and 71596 is 14.

GCF(71582,71596) = 14

We will now calculate the prime factors of 71582 and 71596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71582 and 71596.

How to find the GCF of 71582 and 71596?

We will first find the prime factorization of 71582 and 71596. After we will calculate the factors of 71582 and 71596 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 71596

Prime factors of 71596 are 2, 7, 2557. Prime factorization of 71596 in exponential form is:

71596 = 2² × 7¹ × 2557¹

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 71596

List of positive integer factors of 71596 that divides 71582 without a remainder.

1, 2, 4, 7, 14, 28, 2557, 5114, 10228, 17899, 35798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71582 and 71596. The biggest common factor number is the GCF number.
So the greatest common factor 71582 and 71596 is 14.

Also check out the Least Common Multiple of 71582 and 71596