What is the Greatest Common Factor of 75538 and 75554?

Greatest common factor (GCF) of 75538 and 75554 is 2.

GCF(75538,75554) = 2

We will now calculate the prime factors of 75538 and 75554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75538 and 75554.

How to find the GCF of 75538 and 75554?

We will first find the prime factorization of 75538 and 75554. After we will calculate the factors of 75538 and 75554 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 75554

Prime factors of 75554 are 2, 37, 1021. Prime factorization of 75554 in exponential form is:

75554 = 2¹ × 37¹ × 1021¹

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 75554

List of positive integer factors of 75554 that divides 75538 without a remainder.

1, 2, 37, 74, 1021, 2042, 37777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75538 and 75554. The biggest common factor number is the GCF number.
So the greatest common factor 75538 and 75554 is 2.

Also check out the Least Common Multiple of 75538 and 75554