What is the Greatest Common Factor of 37414 and 37421?

Greatest common factor (GCF) of 37414 and 37421 is 1.

GCF(37414,37421) = 1

We will now calculate the prime factors of 37414 and 37421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37414 and 37421.

How to find the GCF of 37414 and 37421?

We will first find the prime factorization of 37414 and 37421. After we will calculate the factors of 37414 and 37421 and find the biggest common factor number .

Step-1: Prime Factorization of 37414

Prime factors of 37414 are 2, 13, 1439. Prime factorization of 37414 in exponential form is:

37414 = 2¹ × 13¹ × 1439¹

Step-2: Prime Factorization of 37421

Prime factors of 37421 are 23, 1627. Prime factorization of 37421 in exponential form is:

37421 = 23¹ × 1627¹

Step-3: Factors of 37414

List of positive integer factors of 37414 that divides 37414 without a remainder.

1, 2, 13, 26, 1439, 2878, 18707

Step-4: Factors of 37421

List of positive integer factors of 37421 that divides 37414 without a remainder.

1, 23, 1627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37414 and 37421. The biggest common factor number is the GCF number.
So the greatest common factor 37414 and 37421 is 1.

Also check out the Least Common Multiple of 37414 and 37421