What is the Greatest Common Factor of 37407 and 37419?

Greatest common factor (GCF) of 37407 and 37419 is 3.

GCF(37407,37419) = 3

We will now calculate the prime factors of 37407 and 37419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37407 and 37419.

How to find the GCF of 37407 and 37419?

We will first find the prime factorization of 37407 and 37419. After we will calculate the factors of 37407 and 37419 and find the biggest common factor number .

Step-1: Prime Factorization of 37407

Prime factors of 37407 are 3, 37, 337. Prime factorization of 37407 in exponential form is:

37407 = 3¹ × 37¹ × 337¹

Step-2: Prime Factorization of 37419

Prime factors of 37419 are 3, 12473. Prime factorization of 37419 in exponential form is:

37419 = 3¹ × 12473¹

Step-3: Factors of 37407

List of positive integer factors of 37407 that divides 37407 without a remainder.

1, 3, 37, 111, 337, 1011, 12469

Step-4: Factors of 37419

List of positive integer factors of 37419 that divides 37407 without a remainder.

1, 3, 12473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37407 and 37419. The biggest common factor number is the GCF number.
So the greatest common factor 37407 and 37419 is 3.

Also check out the Least Common Multiple of 37407 and 37419