What is the Greatest Common Factor of 37418 and 37431?

Greatest common factor (GCF) of 37418 and 37431 is 1.

GCF(37418,37431) = 1

We will now calculate the prime factors of 37418 and 37431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37418 and 37431.

How to find the GCF of 37418 and 37431?

We will first find the prime factorization of 37418 and 37431. After we will calculate the factors of 37418 and 37431 and find the biggest common factor number .

Step-1: Prime Factorization of 37418

Prime factors of 37418 are 2, 53, 353. Prime factorization of 37418 in exponential form is:

37418 = 2¹ × 53¹ × 353¹

Step-2: Prime Factorization of 37431

Prime factors of 37431 are 3, 4159. Prime factorization of 37431 in exponential form is:

37431 = 3² × 4159¹

Step-3: Factors of 37418

List of positive integer factors of 37418 that divides 37418 without a remainder.

1, 2, 53, 106, 353, 706, 18709

Step-4: Factors of 37431

List of positive integer factors of 37431 that divides 37418 without a remainder.

1, 3, 9, 4159, 12477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37418 and 37431. The biggest common factor number is the GCF number.
So the greatest common factor 37418 and 37431 is 1.

Also check out the Least Common Multiple of 37418 and 37431