What is the Greatest Common Factor of 1582 and 1601?

Greatest common factor (GCF) of 1582 and 1601 is 1.

GCF(1582,1601) = 1

We will now calculate the prime factors of 1582 and 1601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1582 and 1601.

How to find the GCF of 1582 and 1601?

We will first find the prime factorization of 1582 and 1601. After we will calculate the factors of 1582 and 1601 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 1601

Prime factors of 1601 are 1601. Prime factorization of 1601 in exponential form is:

1601 = 1601¹

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 1601

List of positive integer factors of 1601 that divides 1582 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1582 and 1601. The biggest common factor number is the GCF number.
So the greatest common factor 1582 and 1601 is 1.

Also check out the Least Common Multiple of 1582 and 1601