What is the Greatest Common Factor of 37815 and 37835?

Greatest common factor (GCF) of 37815 and 37835 is 5.

GCF(37815,37835) = 5

We will now calculate the prime factors of 37815 and 37835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37815 and 37835.

How to find the GCF of 37815 and 37835?

We will first find the prime factorization of 37815 and 37835. After we will calculate the factors of 37815 and 37835 and find the biggest common factor number .

Step-1: Prime Factorization of 37815

Prime factors of 37815 are 3, 5, 2521. Prime factorization of 37815 in exponential form is:

37815 = 3¹ × 5¹ × 2521¹

Step-2: Prime Factorization of 37835

Prime factors of 37835 are 5, 7, 23, 47. Prime factorization of 37835 in exponential form is:

37835 = 5¹ × 7¹ × 23¹ × 47¹

Step-3: Factors of 37815

List of positive integer factors of 37815 that divides 37815 without a remainder.

1, 3, 5, 15, 2521, 7563, 12605

Step-4: Factors of 37835

List of positive integer factors of 37835 that divides 37815 without a remainder.

1, 5, 7, 23, 35, 47, 115, 161, 235, 329, 805, 1081, 1645, 5405, 7567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37815 and 37835. The biggest common factor number is the GCF number.
So the greatest common factor 37815 and 37835 is 5.

Also check out the Least Common Multiple of 37815 and 37835