What is the Greatest Common Factor of 37555 and 37559?

Greatest common factor (GCF) of 37555 and 37559 is 1.

GCF(37555,37559) = 1

We will now calculate the prime factors of 37555 and 37559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37555 and 37559.

How to find the GCF of 37555 and 37559?

We will first find the prime factorization of 37555 and 37559. After we will calculate the factors of 37555 and 37559 and find the biggest common factor number .

Step-1: Prime Factorization of 37555

Prime factors of 37555 are 5, 7, 29, 37. Prime factorization of 37555 in exponential form is:

37555 = 5¹ × 7¹ × 29¹ × 37¹

Step-2: Prime Factorization of 37559

Prime factors of 37559 are 23, 71. Prime factorization of 37559 in exponential form is:

37559 = 23² × 71¹

Step-3: Factors of 37555

List of positive integer factors of 37555 that divides 37555 without a remainder.

1, 5, 7, 29, 35, 37, 145, 185, 203, 259, 1015, 1073, 1295, 5365, 7511

Step-4: Factors of 37559

List of positive integer factors of 37559 that divides 37555 without a remainder.

1, 23, 71, 529, 1633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37555 and 37559. The biggest common factor number is the GCF number.
So the greatest common factor 37555 and 37559 is 1.

Also check out the Least Common Multiple of 37555 and 37559