What is the Greatest Common Factor of 37541 and 37555?

Greatest common factor (GCF) of 37541 and 37555 is 7.

GCF(37541,37555) = 7

We will now calculate the prime factors of 37541 and 37555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37541 and 37555.

How to find the GCF of 37541 and 37555?

We will first find the prime factorization of 37541 and 37555. After we will calculate the factors of 37541 and 37555 and find the biggest common factor number .

Step-1: Prime Factorization of 37541

Prime factors of 37541 are 7, 31, 173. Prime factorization of 37541 in exponential form is:

37541 = 7¹ × 31¹ × 173¹

Step-2: 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-3: Factors of 37541

List of positive integer factors of 37541 that divides 37541 without a remainder.

1, 7, 31, 173, 217, 1211, 5363

Step-4: Factors of 37555

List of positive integer factors of 37555 that divides 37541 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37541 and 37555. The biggest common factor number is the GCF number.
So the greatest common factor 37541 and 37555 is 7.

Also check out the Least Common Multiple of 37541 and 37555