What is the Greatest Common Factor of 37407 and 37416?

Greatest common factor (GCF) of 37407 and 37416 is 3.

GCF(37407,37416) = 3

We will now calculate the prime factors of 37407 and 37416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37407 and 37416.

How to find the GCF of 37407 and 37416?

We will first find the prime factorization of 37407 and 37416. After we will calculate the factors of 37407 and 37416 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 37416

Prime factors of 37416 are 2, 3, 1559. Prime factorization of 37416 in exponential form is:

37416 = 2³ × 3¹ × 1559¹

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 37416

List of positive integer factors of 37416 that divides 37407 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1559, 3118, 4677, 6236, 9354, 12472, 18708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37407 and 37416. The biggest common factor number is the GCF number.
So the greatest common factor 37407 and 37416 is 3.

Also check out the Least Common Multiple of 37407 and 37416