What is the Greatest Common Factor of 1582 and 1597?

Greatest common factor (GCF) of 1582 and 1597 is 1.

GCF(1582,1597) = 1

We will now calculate the prime factors of 1582 and 1597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1582 and 1597.

How to find the GCF of 1582 and 1597?

We will first find the prime factorization of 1582 and 1597. After we will calculate the factors of 1582 and 1597 and find the biggest common factor number .

Step-1: Prime Factorization of 1582

Prime factors of 1582 are 2, 7, 113. Prime factorization of 1582 in exponential form is:

1582 = 2¹ × 7¹ × 113¹

Step-2: Prime Factorization of 1597

Prime factors of 1597 are 1597. Prime factorization of 1597 in exponential form is:

1597 = 1597¹

Step-3: Factors of 1582

List of positive integer factors of 1582 that divides 1582 without a remainder.

1, 2, 7, 14, 113, 226, 791

Step-4: Factors of 1597

List of positive integer factors of 1597 that divides 1582 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1582 and 1597. The biggest common factor number is the GCF number.
So the greatest common factor 1582 and 1597 is 1.

Also check out the Least Common Multiple of 1582 and 1597