What is the Greatest Common Factor of 75538 and 75557?

Greatest common factor (GCF) of 75538 and 75557 is 1.

GCF(75538,75557) = 1

We will now calculate the prime factors of 75538 and 75557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75538 and 75557.

How to find the GCF of 75538 and 75557?

We will first find the prime factorization of 75538 and 75557. After we will calculate the factors of 75538 and 75557 and find the biggest common factor number .

Step-1: Prime Factorization of 75538

Prime factors of 75538 are 2, 179, 211. Prime factorization of 75538 in exponential form is:

75538 = 2¹ × 179¹ × 211¹

Step-2: Prime Factorization of 75557

Prime factors of 75557 are 75557. Prime factorization of 75557 in exponential form is:

75557 = 75557¹

Step-3: Factors of 75538

List of positive integer factors of 75538 that divides 75538 without a remainder.

1, 2, 179, 211, 358, 422, 37769

Step-4: Factors of 75557

List of positive integer factors of 75557 that divides 75538 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75538 and 75557. The biggest common factor number is the GCF number.
So the greatest common factor 75538 and 75557 is 1.

Also check out the Least Common Multiple of 75538 and 75557