What is the Greatest Common Factor of 37316 and 37335?

Greatest common factor (GCF) of 37316 and 37335 is 19.

GCF(37316,37335) = 19

We will now calculate the prime factors of 37316 and 37335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37316 and 37335.

How to find the GCF of 37316 and 37335?

We will first find the prime factorization of 37316 and 37335. After we will calculate the factors of 37316 and 37335 and find the biggest common factor number .

Step-1: Prime Factorization of 37316

Prime factors of 37316 are 2, 19, 491. Prime factorization of 37316 in exponential form is:

37316 = 2² × 19¹ × 491¹

Step-2: Prime Factorization of 37335

Prime factors of 37335 are 3, 5, 19, 131. Prime factorization of 37335 in exponential form is:

37335 = 3¹ × 5¹ × 19¹ × 131¹

Step-3: Factors of 37316

List of positive integer factors of 37316 that divides 37316 without a remainder.

1, 2, 4, 19, 38, 76, 491, 982, 1964, 9329, 18658

Step-4: Factors of 37335

List of positive integer factors of 37335 that divides 37316 without a remainder.

1, 3, 5, 15, 19, 57, 95, 131, 285, 393, 655, 1965, 2489, 7467, 12445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37316 and 37335. The biggest common factor number is the GCF number.
So the greatest common factor 37316 and 37335 is 19.

Also check out the Least Common Multiple of 37316 and 37335