What is the Greatest Common Factor of 1558 and 1577?

Greatest common factor (GCF) of 1558 and 1577 is 19.

GCF(1558,1577) = 19

We will now calculate the prime factors of 1558 and 1577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1558 and 1577.

How to find the GCF of 1558 and 1577?

We will first find the prime factorization of 1558 and 1577. After we will calculate the factors of 1558 and 1577 and find the biggest common factor number .

Step-1: Prime Factorization of 1558

Prime factors of 1558 are 2, 19, 41. Prime factorization of 1558 in exponential form is:

1558 = 2¹ × 19¹ × 41¹

Step-2: Prime Factorization of 1577

Prime factors of 1577 are 19, 83. Prime factorization of 1577 in exponential form is:

1577 = 19¹ × 83¹

Step-3: Factors of 1558

List of positive integer factors of 1558 that divides 1558 without a remainder.

1, 2, 19, 38, 41, 82, 779

Step-4: Factors of 1577

List of positive integer factors of 1577 that divides 1558 without a remainder.

1, 19, 83

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1558 and 1577. The biggest common factor number is the GCF number.
So the greatest common factor 1558 and 1577 is 19.

Also check out the Least Common Multiple of 1558 and 1577