What is the Greatest Common Factor of 37353 and 37371?

Greatest common factor (GCF) of 37353 and 37371 is 3.

GCF(37353,37371) = 3

We will now calculate the prime factors of 37353 and 37371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37353 and 37371.

How to find the GCF of 37353 and 37371?

We will first find the prime factorization of 37353 and 37371. After we will calculate the factors of 37353 and 37371 and find the biggest common factor number .

Step-1: Prime Factorization of 37353

Prime factors of 37353 are 3, 12451. Prime factorization of 37353 in exponential form is:

37353 = 3¹ × 12451¹

Step-2: Prime Factorization of 37371

Prime factors of 37371 are 3, 12457. Prime factorization of 37371 in exponential form is:

37371 = 3¹ × 12457¹

Step-3: Factors of 37353

List of positive integer factors of 37353 that divides 37353 without a remainder.

1, 3, 12451

Step-4: Factors of 37371

List of positive integer factors of 37371 that divides 37353 without a remainder.

1, 3, 12457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37353 and 37371. The biggest common factor number is the GCF number.
So the greatest common factor 37353 and 37371 is 3.

Also check out the Least Common Multiple of 37353 and 37371