What is the Greatest Common Factor of 37035 and 37055?

Greatest common factor (GCF) of 37035 and 37055 is 5.

GCF(37035,37055) = 5

We will now calculate the prime factors of 37035 and 37055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37035 and 37055.

How to find the GCF of 37035 and 37055?

We will first find the prime factorization of 37035 and 37055. After we will calculate the factors of 37035 and 37055 and find the biggest common factor number .

Step-1: Prime Factorization of 37035

Prime factors of 37035 are 3, 5, 823. Prime factorization of 37035 in exponential form is:

37035 = 3² × 5¹ × 823¹

Step-2: Prime Factorization of 37055

Prime factors of 37055 are 5, 7411. Prime factorization of 37055 in exponential form is:

37055 = 5¹ × 7411¹

Step-3: Factors of 37035

List of positive integer factors of 37035 that divides 37035 without a remainder.

1, 3, 5, 9, 15, 45, 823, 2469, 4115, 7407, 12345

Step-4: Factors of 37055

List of positive integer factors of 37055 that divides 37035 without a remainder.

1, 5, 7411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37035 and 37055. The biggest common factor number is the GCF number.
So the greatest common factor 37035 and 37055 is 5.

Also check out the Least Common Multiple of 37035 and 37055