What is the Greatest Common Factor of 75558 and 75569?

Greatest common factor (GCF) of 75558 and 75569 is 1.

GCF(75558,75569) = 1

We will now calculate the prime factors of 75558 and 75569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75558 and 75569.

How to find the GCF of 75558 and 75569?

We will first find the prime factorization of 75558 and 75569. After we will calculate the factors of 75558 and 75569 and find the biggest common factor number .

Step-1: Prime Factorization of 75558

Prime factors of 75558 are 2, 3, 7, 257. Prime factorization of 75558 in exponential form is:

75558 = 2¹ × 3¹ × 7² × 257¹

Step-2: Prime Factorization of 75569

Prime factors of 75569 are 13, 5813. Prime factorization of 75569 in exponential form is:

75569 = 13¹ × 5813¹

Step-3: Factors of 75558

List of positive integer factors of 75558 that divides 75558 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 257, 294, 514, 771, 1542, 1799, 3598, 5397, 10794, 12593, 25186, 37779

Step-4: Factors of 75569

List of positive integer factors of 75569 that divides 75558 without a remainder.

1, 13, 5813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75558 and 75569. The biggest common factor number is the GCF number.
So the greatest common factor 75558 and 75569 is 1.

Also check out the Least Common Multiple of 75558 and 75569