What is the Greatest Common Factor of 75538 and 75546?

Greatest common factor (GCF) of 75538 and 75546 is 2.

GCF(75538,75546) = 2

We will now calculate the prime factors of 75538 and 75546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75538 and 75546.

How to find the GCF of 75538 and 75546?

We will first find the prime factorization of 75538 and 75546. After we will calculate the factors of 75538 and 75546 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 75546

Prime factors of 75546 are 2, 3, 1399. Prime factorization of 75546 in exponential form is:

75546 = 2¹ × 3³ × 1399¹

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 75546

List of positive integer factors of 75546 that divides 75538 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1399, 2798, 4197, 8394, 12591, 25182, 37773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75538 and 75546. The biggest common factor number is the GCF number.
So the greatest common factor 75538 and 75546 is 2.

Also check out the Least Common Multiple of 75538 and 75546